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Finding the Fourth Proportional to 31,890, 47,842.68 and 10,002

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Solution

The fourth proportional to 31,890, 47,842.68 and 10,002 is: 15,005.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,890 : 47,842.68 = 10,002 : x
  2. Step 2: Convert to fraction form
    31,890/47,842.68 = 10,002/x
  3. Step 3: Cross multiply
    31,890x = 47,842.68 × 10,002
  4. Step 4: Simplify right side
    31,890x = 478,522,485.36
  5. Step 5: Solve for x
    x = 478,522,485.36/31,890
  6. Step 6: Final answer
    x = 15,005.41

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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.