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Finding the Fourth Proportional to 31,905.68, 47,860.95 and 9,720.95

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Solution

The fourth proportional to 31,905.68, 47,860.95 and 9,720.95 is: 14,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,905.68 : 47,860.95 = 9,720.95 : x
  2. Step 2: Convert to fraction form
    31,905.68/47,860.95 = 9,720.95/x
  3. Step 3: Cross multiply
    31,905.68x = 47,860.95 × 9,720.95
  4. Step 4: Simplify right side
    31,905.68x = 465,253,901.90
  5. Step 5: Solve for x
    x = 465,253,901.90/31,905.68
  6. Step 6: Final answer
    x = 14,582.17

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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.