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Finding the Fourth Proportional to 7,643.61, 11,465.01 and 3,257.87

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Solution

The fourth proportional to 7,643.61, 11,465.01 and 3,257.87 is: 4,886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.61 : 11,465.01 = 3,257.87 : x
  2. Step 2: Convert to fraction form
    7,643.61/11,465.01 = 3,257.87/x
  3. Step 3: Cross multiply
    7,643.61x = 11,465.01 × 3,257.87
  4. Step 4: Simplify right side
    7,643.61x = 37,351,454.80
  5. Step 5: Solve for x
    x = 37,351,454.80/7,643.61
  6. Step 6: Final answer
    x = 4,886.62

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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.