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Finding the Fourth Proportional to 31,957.40, 47,918.80 and 14,406.68

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Solution

The fourth proportional to 31,957.40, 47,918.80 and 14,406.68 is: 21,602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,957.40 : 47,918.80 = 14,406.68 : x
  2. Step 2: Convert to fraction form
    31,957.40/47,918.80 = 14,406.68/x
  3. Step 3: Cross multiply
    31,957.40x = 47,918.80 × 14,406.68
  4. Step 4: Simplify right side
    31,957.40x = 690,350,817.58
  5. Step 5: Solve for x
    x = 690,350,817.58/31,957.40
  6. Step 6: Final answer
    x = 21,602.22

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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.