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Finding the Fourth Proportional to 8,658.61, 12,986.73 and 2,418.10

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Solution

The fourth proportional to 8,658.61, 12,986.73 and 2,418.10 is: 3,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658.61 : 12,986.73 = 2,418.10 : x
  2. Step 2: Convert to fraction form
    8,658.61/12,986.73 = 2,418.10/x
  3. Step 3: Cross multiply
    8,658.61x = 12,986.73 × 2,418.10
  4. Step 4: Simplify right side
    8,658.61x = 31,403,179.35
  5. Step 5: Solve for x
    x = 31,403,179.35/8,658.61
  6. Step 6: Final answer
    x = 3,626.82

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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.