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Finding the Fourth Proportional to 5,643.65, 8,468.72 and 4,407.59

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Solution

The fourth proportional to 5,643.65, 8,468.72 and 4,407.59 is: 6,613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.65 : 8,468.72 = 4,407.59 : x
  2. Step 2: Convert to fraction form
    5,643.65/8,468.72 = 4,407.59/x
  3. Step 3: Cross multiply
    5,643.65x = 8,468.72 × 4,407.59
  4. Step 4: Simplify right side
    5,643.65x = 37,326,645.58
  5. Step 5: Solve for x
    x = 37,326,645.58/5,643.65
  6. Step 6: Final answer
    x = 6,613.92

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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.