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Finding the Fourth Proportional to 31,486.65, 47,218.95 and 9,294.15

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Solution

The fourth proportional to 31,486.65, 47,218.95 and 9,294.15 is: 13,937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,486.65 : 47,218.95 = 9,294.15 : x
  2. Step 2: Convert to fraction form
    31,486.65/47,218.95 = 9,294.15/x
  3. Step 3: Cross multiply
    31,486.65x = 47,218.95 × 9,294.15
  4. Step 4: Simplify right side
    31,486.65x = 438,860,004.14
  5. Step 5: Solve for x
    x = 438,860,004.14/31,486.65
  6. Step 6: Final answer
    x = 13,937.97

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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.