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Finding the Fourth Proportional to 31,926, 47,889 and 10,038

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Solution

The fourth proportional to 31,926, 47,889 and 10,038 is: 15,057

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,926 : 47,889 = 10,038 : x
  2. Step 2: Convert to fraction form
    31,926/47,889 = 10,038/x
  3. Step 3: Cross multiply
    31,926x = 47,889 × 10,038
  4. Step 4: Simplify right side
    31,926x = 480,709,782
  5. Step 5: Solve for x
    x = 480,709,782/31,926
  6. Step 6: Final answer
    x = 15,057

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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.