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Finding the Fourth Proportional to 15,098.64, 20,836.02 and 8,384.04

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Solution

The fourth proportional to 15,098.64, 20,836.02 and 8,384.04 is: 11,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.64 : 20,836.02 = 8,384.04 : x
  2. Step 2: Convert to fraction form
    15,098.64/20,836.02 = 8,384.04/x
  3. Step 3: Cross multiply
    15,098.64x = 20,836.02 × 8,384.04
  4. Step 4: Simplify right side
    15,098.64x = 174,690,025.12
  5. Step 5: Solve for x
    x = 174,690,025.12/15,098.64
  6. Step 6: Final answer
    x = 11,569.92

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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.