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Finding the Fourth Proportional to 19,807.59, 29,691.39 and 12,417.24

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Solution

The fourth proportional to 19,807.59, 29,691.39 and 12,417.24 is: 18,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.59 : 29,691.39 = 12,417.24 : x
  2. Step 2: Convert to fraction form
    19,807.59/29,691.39 = 12,417.24/x
  3. Step 3: Cross multiply
    19,807.59x = 29,691.39 × 12,417.24
  4. Step 4: Simplify right side
    19,807.59x = 368,685,004.22
  5. Step 5: Solve for x
    x = 368,685,004.22/19,807.59
  6. Step 6: Final answer
    x = 18,613.32

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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.