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Finding the Fourth Proportional to 7,963.42, 10,989.59 and 4,981

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Solution

The fourth proportional to 7,963.42, 10,989.59 and 4,981 is: 6,873.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.42 : 10,989.59 = 4,981 : x
  2. Step 2: Convert to fraction form
    7,963.42/10,989.59 = 4,981/x
  3. Step 3: Cross multiply
    7,963.42x = 10,989.59 × 4,981
  4. Step 4: Simplify right side
    7,963.42x = 54,739,147.79
  5. Step 5: Solve for x
    x = 54,739,147.79/7,963.42
  6. Step 6: Final answer
    x = 6,873.82

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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.