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Finding the Fourth Proportional to 7,842.32, 10,839.62 and 6,890.97

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Solution

The fourth proportional to 7,842.32, 10,839.62 and 6,890.97 is: 9,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.32 : 10,839.62 = 6,890.97 : x
  2. Step 2: Convert to fraction form
    7,842.32/10,839.62 = 6,890.97/x
  3. Step 3: Cross multiply
    7,842.32x = 10,839.62 × 6,890.97
  4. Step 4: Simplify right side
    7,842.32x = 74,695,554.11
  5. Step 5: Solve for x
    x = 74,695,554.11/7,842.32
  6. Step 6: Final answer
    x = 9,524.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.