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Finding the Fourth Proportional to 8,542.42, 11,788.84 and 4,957.11

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Solution

The fourth proportional to 8,542.42, 11,788.84 and 4,957.11 is: 6,840.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.42 : 11,788.84 = 4,957.11 : x
  2. Step 2: Convert to fraction form
    8,542.42/11,788.84 = 4,957.11/x
  3. Step 3: Cross multiply
    8,542.42x = 11,788.84 × 4,957.11
  4. Step 4: Simplify right side
    8,542.42x = 58,438,576.65
  5. Step 5: Solve for x
    x = 58,438,576.65/8,542.42
  6. Step 6: Final answer
    x = 6,840.99

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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.