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Finding the Fourth Proportional to 8,658.81, 12,984.12 and 3,109.95

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Solution

The fourth proportional to 8,658.81, 12,984.12 and 3,109.95 is: 4,663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658.81 : 12,984.12 = 3,109.95 : x
  2. Step 2: Convert to fraction form
    8,658.81/12,984.12 = 3,109.95/x
  3. Step 3: Cross multiply
    8,658.81x = 12,984.12 × 3,109.95
  4. Step 4: Simplify right side
    8,658.81x = 40,379,963.99
  5. Step 5: Solve for x
    x = 40,379,963.99/8,658.81
  6. Step 6: Final answer
    x = 4,663.45

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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.