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Finding the Fourth Proportional to 11,995.52, 17,988 and 5,421.44

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Solution

The fourth proportional to 11,995.52, 17,988 and 5,421.44 is: 8,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,995.52 : 17,988 = 5,421.44 : x
  2. Step 2: Convert to fraction form
    11,995.52/17,988 = 5,421.44/x
  3. Step 3: Cross multiply
    11,995.52x = 17,988 × 5,421.44
  4. Step 4: Simplify right side
    11,995.52x = 97,520,862.72
  5. Step 5: Solve for x
    x = 97,520,862.72/11,995.52
  6. Step 6: Final answer
    x = 8,129.77

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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.