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Finding the Fourth Proportional to 31,129.66, 46,672.89 and 11,405.50

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Solution

The fourth proportional to 31,129.66, 46,672.89 and 11,405.50 is: 17,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.66 : 46,672.89 = 11,405.50 : x
  2. Step 2: Convert to fraction form
    31,129.66/46,672.89 = 11,405.50/x
  3. Step 3: Cross multiply
    31,129.66x = 46,672.89 × 11,405.50
  4. Step 4: Simplify right side
    31,129.66x = 532,327,646.90
  5. Step 5: Solve for x
    x = 532,327,646.90/31,129.66
  6. Step 6: Final answer
    x = 17,100.34

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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.