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Finding the Fourth Proportional to 8,370.88, 12,549.12 and 3,180.48

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Solution

The fourth proportional to 8,370.88, 12,549.12 and 3,180.48 is: 4,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.88 : 12,549.12 = 3,180.48 : x
  2. Step 2: Convert to fraction form
    8,370.88/12,549.12 = 3,180.48/x
  3. Step 3: Cross multiply
    8,370.88x = 12,549.12 × 3,180.48
  4. Step 4: Simplify right side
    8,370.88x = 39,912,225.18
  5. Step 5: Solve for x
    x = 39,912,225.18/8,370.88
  6. Step 6: Final answer
    x = 4,767.98

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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.