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Finding the Fourth Proportional to 9,891.70, 14,843.05 and 4,047.90

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Solution

The fourth proportional to 9,891.70, 14,843.05 and 4,047.90 is: 6,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.70 : 14,843.05 = 4,047.90 : x
  2. Step 2: Convert to fraction form
    9,891.70/14,843.05 = 4,047.90/x
  3. Step 3: Cross multiply
    9,891.70x = 14,843.05 × 4,047.90
  4. Step 4: Simplify right side
    9,891.70x = 60,083,182.10
  5. Step 5: Solve for x
    x = 60,083,182.10/9,891.70
  6. Step 6: Final answer
    x = 6,074.10

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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.