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Finding the Fourth Proportional to 3,239.65, 4,859.88 and 1,159.88

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Solution

The fourth proportional to 3,239.65, 4,859.88 and 1,159.88 is: 1,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.65 : 4,859.88 = 1,159.88 : x
  2. Step 2: Convert to fraction form
    3,239.65/4,859.88 = 1,159.88/x
  3. Step 3: Cross multiply
    3,239.65x = 4,859.88 × 1,159.88
  4. Step 4: Simplify right side
    3,239.65x = 5,636,877.61
  5. Step 5: Solve for x
    x = 5,636,877.61/3,239.65
  6. Step 6: Final answer
    x = 1,739.97

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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.