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Finding the Fourth Proportional to 9,838.19, 14,751.82 and 3,987.97

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Solution

The fourth proportional to 9,838.19, 14,751.82 and 3,987.97 is: 5,979.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.19 : 14,751.82 = 3,987.97 : x
  2. Step 2: Convert to fraction form
    9,838.19/14,751.82 = 3,987.97/x
  3. Step 3: Cross multiply
    9,838.19x = 14,751.82 × 3,987.97
  4. Step 4: Simplify right side
    9,838.19x = 58,829,818.85
  5. Step 5: Solve for x
    x = 58,829,818.85/9,838.19
  6. Step 6: Final answer
    x = 5,979.74

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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.