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Finding the Fourth Proportional to 31,889, 47,841.18 and 10,001

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Solution

The fourth proportional to 31,889, 47,841.18 and 10,001 is: 15,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,889 : 47,841.18 = 10,001 : x
  2. Step 2: Convert to fraction form
    31,889/47,841.18 = 10,001/x
  3. Step 3: Cross multiply
    31,889x = 47,841.18 × 10,001
  4. Step 4: Simplify right side
    31,889x = 478,459,641.18
  5. Step 5: Solve for x
    x = 478,459,641.18/31,889
  6. Step 6: Final answer
    x = 15,003.91

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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.