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Finding the Fourth Proportional to 6,498.90, 9,742.68 and 2,600.64

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Solution

The fourth proportional to 6,498.90, 9,742.68 and 2,600.64 is: 3,898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.90 : 9,742.68 = 2,600.64 : x
  2. Step 2: Convert to fraction form
    6,498.90/9,742.68 = 2,600.64/x
  3. Step 3: Cross multiply
    6,498.90x = 9,742.68 × 2,600.64
  4. Step 4: Simplify right side
    6,498.90x = 25,337,203.32
  5. Step 5: Solve for x
    x = 25,337,203.32/6,498.90
  6. Step 6: Final answer
    x = 3,898.69

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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.