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Finding the Fourth Proportional to 6,911.52, 9,537 and 4,078.56

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Solution

The fourth proportional to 6,911.52, 9,537 and 4,078.56 is: 5,627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.52 : 9,537 = 4,078.56 : x
  2. Step 2: Convert to fraction form
    6,911.52/9,537 = 4,078.56/x
  3. Step 3: Cross multiply
    6,911.52x = 9,537 × 4,078.56
  4. Step 4: Simplify right side
    6,911.52x = 38,897,226.72
  5. Step 5: Solve for x
    x = 38,897,226.72/6,911.52
  6. Step 6: Final answer
    x = 5,627.88

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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.