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Finding the Fourth Proportional to 7,963.72, 10,990.34 and 4,427

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Solution

The fourth proportional to 7,963.72, 10,990.34 and 4,427 is: 6,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.72 : 10,990.34 = 4,427 : x
  2. Step 2: Convert to fraction form
    7,963.72/10,990.34 = 4,427/x
  3. Step 3: Cross multiply
    7,963.72x = 10,990.34 × 4,427
  4. Step 4: Simplify right side
    7,963.72x = 48,654,235.18
  5. Step 5: Solve for x
    x = 48,654,235.18/7,963.72
  6. Step 6: Final answer
    x = 6,109.49

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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.