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Finding the Fourth Proportional to 6,508.64, 9,759.70 and 2,125.60

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Solution

The fourth proportional to 6,508.64, 9,759.70 and 2,125.60 is: 3,187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.64 : 9,759.70 = 2,125.60 : x
  2. Step 2: Convert to fraction form
    6,508.64/9,759.70 = 2,125.60/x
  3. Step 3: Cross multiply
    6,508.64x = 9,759.70 × 2,125.60
  4. Step 4: Simplify right side
    6,508.64x = 20,745,218.32
  5. Step 5: Solve for x
    x = 20,745,218.32/6,508.64
  6. Step 6: Final answer
    x = 3,187.34

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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.