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Finding the Fourth Proportional to 31,957.02, 47,935.32 and 9,770.31

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Solution

The fourth proportional to 31,957.02, 47,935.32 and 9,770.31 is: 14,655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,957.02 : 47,935.32 = 9,770.31 : x
  2. Step 2: Convert to fraction form
    31,957.02/47,935.32 = 9,770.31/x
  3. Step 3: Cross multiply
    31,957.02x = 47,935.32 × 9,770.31
  4. Step 4: Simplify right side
    31,957.02x = 468,342,936.35
  5. Step 5: Solve for x
    x = 468,342,936.35/31,957.02
  6. Step 6: Final answer
    x = 14,655.40

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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.