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Finding the Fourth Proportional to 31,805, 47,707.52 and 9,917

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Solution

The fourth proportional to 31,805, 47,707.52 and 9,917 is: 14,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805 : 47,707.52 = 9,917 : x
  2. Step 2: Convert to fraction form
    31,805/47,707.52 = 9,917/x
  3. Step 3: Cross multiply
    31,805x = 47,707.52 × 9,917
  4. Step 4: Simplify right side
    31,805x = 473,115,475.84
  5. Step 5: Solve for x
    x = 473,115,475.84/31,805
  6. Step 6: Final answer
    x = 14,875.51

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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.