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Finding the Fourth Proportional to 29,686.50, 40,967.64 and 20,254.86

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Solution

The fourth proportional to 29,686.50, 40,967.64 and 20,254.86 is: 27,951.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,686.50 : 40,967.64 = 20,254.86 : x
  2. Step 2: Convert to fraction form
    29,686.50/40,967.64 = 20,254.86/x
  3. Step 3: Cross multiply
    29,686.50x = 40,967.64 × 20,254.86
  4. Step 4: Simplify right side
    29,686.50x = 829,793,812.73
  5. Step 5: Solve for x
    x = 829,793,812.73/29,686.50
  6. Step 6: Final answer
    x = 27,951.89

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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.