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Finding the Fourth Proportional to 8,643.38, 11,902.74 and 7,508.53

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Solution

The fourth proportional to 8,643.38, 11,902.74 and 7,508.53 is: 10,339.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.38 : 11,902.74 = 7,508.53 : x
  2. Step 2: Convert to fraction form
    8,643.38/11,902.74 = 7,508.53/x
  3. Step 3: Cross multiply
    8,643.38x = 11,902.74 × 7,508.53
  4. Step 4: Simplify right side
    8,643.38x = 89,372,080.37
  5. Step 5: Solve for x
    x = 89,372,080.37/8,643.38
  6. Step 6: Final answer
    x = 10,339.95

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Half scale
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Double scale
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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.