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Finding the Fourth Proportional to 6,468.51, 9,695.86 and 3,689.20

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Solution

The fourth proportional to 6,468.51, 9,695.86 and 3,689.20 is: 5,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.51 : 9,695.86 = 3,689.20 : x
  2. Step 2: Convert to fraction form
    6,468.51/9,695.86 = 3,689.20/x
  3. Step 3: Cross multiply
    6,468.51x = 9,695.86 × 3,689.20
  4. Step 4: Simplify right side
    6,468.51x = 35,769,899.79
  5. Step 5: Solve for x
    x = 35,769,899.79/6,468.51
  6. Step 6: Final answer
    x = 5,529.85

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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.