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Finding the Fourth Proportional to 7,132.66, 9,843.12 and 4,148.21

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Solution

The fourth proportional to 7,132.66, 9,843.12 and 4,148.21 is: 5,724.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.66 : 9,843.12 = 4,148.21 : x
  2. Step 2: Convert to fraction form
    7,132.66/9,843.12 = 4,148.21/x
  3. Step 3: Cross multiply
    7,132.66x = 9,843.12 × 4,148.21
  4. Step 4: Simplify right side
    7,132.66x = 40,831,353.42
  5. Step 5: Solve for x
    x = 40,831,353.42/7,132.66
  6. Step 6: Final answer
    x = 5,724.56

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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.