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Finding the Fourth Proportional to 9,839.76, 14,694.42 and 8,647.44

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Solution

The fourth proportional to 9,839.76, 14,694.42 and 8,647.44 is: 12,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.76 : 14,694.42 = 8,647.44 : x
  2. Step 2: Convert to fraction form
    9,839.76/14,694.42 = 8,647.44/x
  3. Step 3: Cross multiply
    9,839.76x = 14,694.42 × 8,647.44
  4. Step 4: Simplify right side
    9,839.76x = 127,069,115.28
  5. Step 5: Solve for x
    x = 127,069,115.28/9,839.76
  6. Step 6: Final answer
    x = 12,913.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.