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Finding the Fourth Proportional to 6,643.45, 9,952.42 and 3,712.87

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Solution

The fourth proportional to 6,643.45, 9,952.42 and 3,712.87 is: 5,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.45 : 9,952.42 = 3,712.87 : x
  2. Step 2: Convert to fraction form
    6,643.45/9,952.42 = 3,712.87/x
  3. Step 3: Cross multiply
    6,643.45x = 9,952.42 × 3,712.87
  4. Step 4: Simplify right side
    6,643.45x = 36,952,041.65
  5. Step 5: Solve for x
    x = 36,952,041.65/6,643.45
  6. Step 6: Final answer
    x = 5,562.18

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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.