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Finding the Fourth Proportional to 31,585, 47,377.68 and 13,117

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Solution

The fourth proportional to 31,585, 47,377.68 and 13,117 is: 19,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,585 : 47,377.68 = 13,117 : x
  2. Step 2: Convert to fraction form
    31,585/47,377.68 = 13,117/x
  3. Step 3: Cross multiply
    31,585x = 47,377.68 × 13,117
  4. Step 4: Simplify right side
    31,585x = 621,453,028.56
  5. Step 5: Solve for x
    x = 621,453,028.56/31,585
  6. Step 6: Final answer
    x = 19,675.57

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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.