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Finding the Fourth Proportional to 4,000.86, 6,001.40 and 1,079.16

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Solution

The fourth proportional to 4,000.86, 6,001.40 and 1,079.16 is: 1,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.86 : 6,001.40 = 1,079.16 : x
  2. Step 2: Convert to fraction form
    4,000.86/6,001.40 = 1,079.16/x
  3. Step 3: Cross multiply
    4,000.86x = 6,001.40 × 1,079.16
  4. Step 4: Simplify right side
    4,000.86x = 6,476,447.98
  5. Step 5: Solve for x
    x = 6,476,447.98/4,000.86
  6. Step 6: Final answer
    x = 1,618.76

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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.