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Finding the Fourth Proportional to 9,999.72, 15,000 and 3,759.12

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Solution

The fourth proportional to 9,999.72, 15,000 and 3,759.12 is: 5,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.72 : 15,000 = 3,759.12 : x
  2. Step 2: Convert to fraction form
    9,999.72/15,000 = 3,759.12/x
  3. Step 3: Cross multiply
    9,999.72x = 15,000 × 3,759.12
  4. Step 4: Simplify right side
    9,999.72x = 56,386,800
  5. Step 5: Solve for x
    x = 56,386,800/9,999.72
  6. Step 6: Final answer
    x = 5,638.84

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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.