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Finding the Fourth Proportional to 31,669, 47,511.18 and 9,781

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Solution

The fourth proportional to 31,669, 47,511.18 and 9,781 is: 14,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,669 : 47,511.18 = 9,781 : x
  2. Step 2: Convert to fraction form
    31,669/47,511.18 = 9,781/x
  3. Step 3: Cross multiply
    31,669x = 47,511.18 × 9,781
  4. Step 4: Simplify right side
    31,669x = 464,706,851.58
  5. Step 5: Solve for x
    x = 464,706,851.58/31,669
  6. Step 6: Final answer
    x = 14,673.87

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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.