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Finding the Fourth Proportional to 6,378.88, 8,799.60 and 4,142.04

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Solution

The fourth proportional to 6,378.88, 8,799.60 and 4,142.04 is: 5,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.88 : 8,799.60 = 4,142.04 : x
  2. Step 2: Convert to fraction form
    6,378.88/8,799.60 = 4,142.04/x
  3. Step 3: Cross multiply
    6,378.88x = 8,799.60 × 4,142.04
  4. Step 4: Simplify right side
    6,378.88x = 36,448,295.18
  5. Step 5: Solve for x
    x = 36,448,295.18/6,378.88
  6. Step 6: Final answer
    x = 5,713.90

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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.