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Finding the Fourth Proportional to 5,987.36, 8,961.92 and 4,009.20

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Solution

The fourth proportional to 5,987.36, 8,961.92 and 4,009.20 is: 6,001.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.36 : 8,961.92 = 4,009.20 : x
  2. Step 2: Convert to fraction form
    5,987.36/8,961.92 = 4,009.20/x
  3. Step 3: Cross multiply
    5,987.36x = 8,961.92 × 4,009.20
  4. Step 4: Simplify right side
    5,987.36x = 35,930,129.66
  5. Step 5: Solve for x
    x = 35,930,129.66/5,987.36
  6. Step 6: Final answer
    x = 6,001.00

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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.