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Finding the Fourth Proportional to 31,407, 47,132.10 and 12,939

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Solution

The fourth proportional to 31,407, 47,132.10 and 12,939 is: 19,417.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407 : 47,132.10 = 12,939 : x
  2. Step 2: Convert to fraction form
    31,407/47,132.10 = 12,939/x
  3. Step 3: Cross multiply
    31,407x = 47,132.10 × 12,939
  4. Step 4: Simplify right side
    31,407x = 609,842,241.90
  5. Step 5: Solve for x
    x = 609,842,241.90/31,407
  6. Step 6: Final answer
    x = 19,417.40

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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.