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Finding the Fourth Proportional to 5,287.08, 7,294.86 and 3,423

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Solution

The fourth proportional to 5,287.08, 7,294.86 and 3,423 is: 4,722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.08 : 7,294.86 = 3,423 : x
  2. Step 2: Convert to fraction form
    5,287.08/7,294.86 = 3,423/x
  3. Step 3: Cross multiply
    5,287.08x = 7,294.86 × 3,423
  4. Step 4: Simplify right side
    5,287.08x = 24,970,305.78
  5. Step 5: Solve for x
    x = 24,970,305.78/5,287.08
  6. Step 6: Final answer
    x = 4,722.89

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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.