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Finding the Fourth Proportional to 10,658.98, 15,979.35 and 4,089.88

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Solution

The fourth proportional to 10,658.98, 15,979.35 and 4,089.88 is: 6,131.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.98 : 15,979.35 = 4,089.88 : x
  2. Step 2: Convert to fraction form
    10,658.98/15,979.35 = 4,089.88/x
  3. Step 3: Cross multiply
    10,658.98x = 15,979.35 × 4,089.88
  4. Step 4: Simplify right side
    10,658.98x = 65,353,523.63
  5. Step 5: Solve for x
    x = 65,353,523.63/10,658.98
  6. Step 6: Final answer
    x = 6,131.31

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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.