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Finding the Fourth Proportional to 8,642.42, 12,963.02 and 4,933.02

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Solution

The fourth proportional to 8,642.42, 12,963.02 and 4,933.02 is: 7,399.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.42 : 12,963.02 = 4,933.02 : x
  2. Step 2: Convert to fraction form
    8,642.42/12,963.02 = 4,933.02/x
  3. Step 3: Cross multiply
    8,642.42x = 12,963.02 × 4,933.02
  4. Step 4: Simplify right side
    8,642.42x = 63,946,836.92
  5. Step 5: Solve for x
    x = 63,946,836.92/8,642.42
  6. Step 6: Final answer
    x = 7,399.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.