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Finding the Fourth Proportional to 18,931.64, 28,414.94 and 9,578.24

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Solution

The fourth proportional to 18,931.64, 28,414.94 and 9,578.24 is: 14,376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,931.64 : 28,414.94 = 9,578.24 : x
  2. Step 2: Convert to fraction form
    18,931.64/28,414.94 = 9,578.24/x
  3. Step 3: Cross multiply
    18,931.64x = 28,414.94 × 9,578.24
  4. Step 4: Simplify right side
    18,931.64x = 272,165,114.91
  5. Step 5: Solve for x
    x = 272,165,114.91/18,931.64
  6. Step 6: Final answer
    x = 14,376.20

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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.