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Finding the Fourth Proportional to 31,549, 47,309.64 and 11,813.71

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Solution

The fourth proportional to 31,549, 47,309.64 and 11,813.71 is: 17,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,549 : 47,309.64 = 11,813.71 : x
  2. Step 2: Convert to fraction form
    31,549/47,309.64 = 11,813.71/x
  3. Step 3: Cross multiply
    31,549x = 47,309.64 × 11,813.71
  4. Step 4: Simplify right side
    31,549x = 558,902,485.44
  5. Step 5: Solve for x
    x = 558,902,485.44/31,549
  6. Step 6: Final answer
    x = 17,715.38

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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.