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Finding the Fourth Proportional to 12,737.56, 17,577.84 and 7,148.56

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Solution

The fourth proportional to 12,737.56, 17,577.84 and 7,148.56 is: 9,865.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.56 : 17,577.84 = 7,148.56 : x
  2. Step 2: Convert to fraction form
    12,737.56/17,577.84 = 7,148.56/x
  3. Step 3: Cross multiply
    12,737.56x = 17,577.84 × 7,148.56
  4. Step 4: Simplify right side
    12,737.56x = 125,656,243.91
  5. Step 5: Solve for x
    x = 125,656,243.91/12,737.56
  6. Step 6: Final answer
    x = 9,865.02

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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.