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Finding the Fourth Proportional to 12,635.80, 17,437.40 and 7,331

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Solution

The fourth proportional to 12,635.80, 17,437.40 and 7,331 is: 10,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.80 : 17,437.40 = 7,331 : x
  2. Step 2: Convert to fraction form
    12,635.80/17,437.40 = 7,331/x
  3. Step 3: Cross multiply
    12,635.80x = 17,437.40 × 7,331
  4. Step 4: Simplify right side
    12,635.80x = 127,833,579.40
  5. Step 5: Solve for x
    x = 127,833,579.40/12,635.80
  6. Step 6: Final answer
    x = 10,116.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.