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Finding the Fourth Proportional to 19,959.16, 29,938.76 and 8,114.12

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Solution

The fourth proportional to 19,959.16, 29,938.76 and 8,114.12 is: 12,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,959.16 : 29,938.76 = 8,114.12 : x
  2. Step 2: Convert to fraction form
    19,959.16/29,938.76 = 8,114.12/x
  3. Step 3: Cross multiply
    19,959.16x = 29,938.76 × 8,114.12
  4. Step 4: Simplify right side
    19,959.16x = 242,926,691.29
  5. Step 5: Solve for x
    x = 242,926,691.29/19,959.16
  6. Step 6: Final answer
    x = 12,171.19

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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.