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Finding the Fourth Proportional to 4,291.65, 5,909.31 and 3,231

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Solution

The fourth proportional to 4,291.65, 5,909.31 and 3,231 is: 4,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.65 : 5,909.31 = 3,231 : x
  2. Step 2: Convert to fraction form
    4,291.65/5,909.31 = 3,231/x
  3. Step 3: Cross multiply
    4,291.65x = 5,909.31 × 3,231
  4. Step 4: Simplify right side
    4,291.65x = 19,092,980.61
  5. Step 5: Solve for x
    x = 19,092,980.61/4,291.65
  6. Step 6: Final answer
    x = 4,448.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.