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Finding the Fourth Proportional to 9,176.40, 13,764.60 and 6,989.40

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Solution

The fourth proportional to 9,176.40, 13,764.60 and 6,989.40 is: 10,484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.40 : 13,764.60 = 6,989.40 : x
  2. Step 2: Convert to fraction form
    9,176.40/13,764.60 = 6,989.40/x
  3. Step 3: Cross multiply
    9,176.40x = 13,764.60 × 6,989.40
  4. Step 4: Simplify right side
    9,176.40x = 96,206,295.24
  5. Step 5: Solve for x
    x = 96,206,295.24/9,176.40
  6. Step 6: Final answer
    x = 10,484.10

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.