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Finding the Fourth Proportional to 11,587.65, 17,384 and 4,191.33

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Solution

The fourth proportional to 11,587.65, 17,384 and 4,191.33 is: 6,287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.65 : 17,384 = 4,191.33 : x
  2. Step 2: Convert to fraction form
    11,587.65/17,384 = 4,191.33/x
  3. Step 3: Cross multiply
    11,587.65x = 17,384 × 4,191.33
  4. Step 4: Simplify right side
    11,587.65x = 72,862,080.72
  5. Step 5: Solve for x
    x = 72,862,080.72/11,587.65
  6. Step 6: Final answer
    x = 6,287.91

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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.