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Finding the Fourth Proportional to 32,658.40, 48,986.46 and 8,642.80

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Solution

The fourth proportional to 32,658.40, 48,986.46 and 8,642.80 is: 12,963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,658.40 : 48,986.46 = 8,642.80 : x
  2. Step 2: Convert to fraction form
    32,658.40/48,986.46 = 8,642.80/x
  3. Step 3: Cross multiply
    32,658.40x = 48,986.46 × 8,642.80
  4. Step 4: Simplify right side
    32,658.40x = 423,380,176.49
  5. Step 5: Solve for x
    x = 423,380,176.49/32,658.40
  6. Step 6: Final answer
    x = 12,963.90

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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.