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Finding the Fourth Proportional to 9,151.44, 12,611.04 and 7,477.20

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Solution

The fourth proportional to 9,151.44, 12,611.04 and 7,477.20 is: 10,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.44 : 12,611.04 = 7,477.20 : x
  2. Step 2: Convert to fraction form
    9,151.44/12,611.04 = 7,477.20/x
  3. Step 3: Cross multiply
    9,151.44x = 12,611.04 × 7,477.20
  4. Step 4: Simplify right side
    9,151.44x = 94,295,268.29
  5. Step 5: Solve for x
    x = 94,295,268.29/9,151.44
  6. Step 6: Final answer
    x = 10,303.87

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.