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Finding the Fourth Proportional to 31,614.66, 47,407.95 and 16,820.46

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Solution

The fourth proportional to 31,614.66, 47,407.95 and 16,820.46 is: 25,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614.66 : 47,407.95 = 16,820.46 : x
  2. Step 2: Convert to fraction form
    31,614.66/47,407.95 = 16,820.46/x
  3. Step 3: Cross multiply
    31,614.66x = 47,407.95 × 16,820.46
  4. Step 4: Simplify right side
    31,614.66x = 797,423,526.66
  5. Step 5: Solve for x
    x = 797,423,526.66/31,614.66
  6. Step 6: Final answer
    x = 25,223.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.