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Finding the Fourth Proportional to 7,144.71, 10,720.71 and 3,248.61

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Solution

The fourth proportional to 7,144.71, 10,720.71 and 3,248.61 is: 4,874.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.71 : 10,720.71 = 3,248.61 : x
  2. Step 2: Convert to fraction form
    7,144.71/10,720.71 = 3,248.61/x
  3. Step 3: Cross multiply
    7,144.71x = 10,720.71 × 3,248.61
  4. Step 4: Simplify right side
    7,144.71x = 34,827,405.71
  5. Step 5: Solve for x
    x = 34,827,405.71/7,144.71
  6. Step 6: Final answer
    x = 4,874.57

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1.5x scale

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.