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Finding the Fourth Proportional to 6,507.52, 8,979.36 and 3,712.64

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Solution

The fourth proportional to 6,507.52, 8,979.36 and 3,712.64 is: 5,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.52 : 8,979.36 = 3,712.64 : x
  2. Step 2: Convert to fraction form
    6,507.52/8,979.36 = 3,712.64/x
  3. Step 3: Cross multiply
    6,507.52x = 8,979.36 × 3,712.64
  4. Step 4: Simplify right side
    6,507.52x = 33,337,131.11
  5. Step 5: Solve for x
    x = 33,337,131.11/6,507.52
  6. Step 6: Final answer
    x = 5,122.86

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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.