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Finding the Fourth Proportional to 9,143.20, 13,708.80 and 3,593.20

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Solution

The fourth proportional to 9,143.20, 13,708.80 and 3,593.20 is: 5,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.20 : 13,708.80 = 3,593.20 : x
  2. Step 2: Convert to fraction form
    9,143.20/13,708.80 = 3,593.20/x
  3. Step 3: Cross multiply
    9,143.20x = 13,708.80 × 3,593.20
  4. Step 4: Simplify right side
    9,143.20x = 49,258,460.16
  5. Step 5: Solve for x
    x = 49,258,460.16/9,143.20
  6. Step 6: Final answer
    x = 5,387.44

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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.