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Finding the Fourth Proportional to 31,876.74, 47,813.49 and 9,689.63

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Solution

The fourth proportional to 31,876.74, 47,813.49 and 9,689.63 is: 14,533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,876.74 : 47,813.49 = 9,689.63 : x
  2. Step 2: Convert to fraction form
    31,876.74/47,813.49 = 9,689.63/x
  3. Step 3: Cross multiply
    31,876.74x = 47,813.49 × 9,689.63
  4. Step 4: Simplify right side
    31,876.74x = 463,294,788.04
  5. Step 5: Solve for x
    x = 463,294,788.04/31,876.74
  6. Step 6: Final answer
    x = 14,533.95

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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.