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Finding the Fourth Proportional to 12,877.76, 17,773.92 and 7,290.56

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Solution

The fourth proportional to 12,877.76, 17,773.92 and 7,290.56 is: 10,062.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.76 : 17,773.92 = 7,290.56 : x
  2. Step 2: Convert to fraction form
    12,877.76/17,773.92 = 7,290.56/x
  3. Step 3: Cross multiply
    12,877.76x = 17,773.92 × 7,290.56
  4. Step 4: Simplify right side
    12,877.76x = 129,581,830.20
  5. Step 5: Solve for x
    x = 129,581,830.20/12,877.76
  6. Step 6: Final answer
    x = 10,062.45

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1.5x scale

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.