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Finding the Fourth Proportional to 7,721, 10,654.92 and 4,184.12

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Solution

The fourth proportional to 7,721, 10,654.92 and 4,184.12 is: 5,774.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,721 : 10,654.92 = 4,184.12 : x
  2. Step 2: Convert to fraction form
    7,721/10,654.92 = 4,184.12/x
  3. Step 3: Cross multiply
    7,721x = 10,654.92 × 4,184.12
  4. Step 4: Simplify right side
    7,721x = 44,581,463.87
  5. Step 5: Solve for x
    x = 44,581,463.87/7,721
  6. Step 6: Final answer
    x = 5,774.05

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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.