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Finding the Fourth Proportional to 12,724.16, 17,557.44 and 7,134.08

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Solution

The fourth proportional to 12,724.16, 17,557.44 and 7,134.08 is: 9,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,724.16 : 17,557.44 = 7,134.08 : x
  2. Step 2: Convert to fraction form
    12,724.16/17,557.44 = 7,134.08/x
  3. Step 3: Cross multiply
    12,724.16x = 17,557.44 × 7,134.08
  4. Step 4: Simplify right side
    12,724.16x = 125,256,181.56
  5. Step 5: Solve for x
    x = 125,256,181.56/12,724.16
  6. Step 6: Final answer
    x = 9,843.96

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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.