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Finding the Fourth Proportional to 5,239.68, 7,230.74 and 3,002.30

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Solution

The fourth proportional to 5,239.68, 7,230.74 and 3,002.30 is: 4,143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.68 : 7,230.74 = 3,002.30 : x
  2. Step 2: Convert to fraction form
    5,239.68/7,230.74 = 3,002.30/x
  3. Step 3: Cross multiply
    5,239.68x = 7,230.74 × 3,002.30
  4. Step 4: Simplify right side
    5,239.68x = 21,708,850.70
  5. Step 5: Solve for x
    x = 21,708,850.70/5,239.68
  6. Step 6: Final answer
    x = 4,143.16

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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.