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Finding the Fourth Proportional to 5,242.62, 7,864.35 and 1,347

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Solution

The fourth proportional to 5,242.62, 7,864.35 and 1,347 is: 2,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.62 : 7,864.35 = 1,347 : x
  2. Step 2: Convert to fraction form
    5,242.62/7,864.35 = 1,347/x
  3. Step 3: Cross multiply
    5,242.62x = 7,864.35 × 1,347
  4. Step 4: Simplify right side
    5,242.62x = 10,593,279.45
  5. Step 5: Solve for x
    x = 10,593,279.45/5,242.62
  6. Step 6: Final answer
    x = 2,020.61

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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.