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Finding the Fourth Proportional to 7,147.66, 10,724.43 and 2,988.55

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Solution

The fourth proportional to 7,147.66, 10,724.43 and 2,988.55 is: 4,484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.66 : 10,724.43 = 2,988.55 : x
  2. Step 2: Convert to fraction form
    7,147.66/10,724.43 = 2,988.55/x
  3. Step 3: Cross multiply
    7,147.66x = 10,724.43 × 2,988.55
  4. Step 4: Simplify right side
    7,147.66x = 32,050,426.71
  5. Step 5: Solve for x
    x = 32,050,426.71/7,147.66
  6. Step 6: Final answer
    x = 4,484.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.