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Finding the Fourth Proportional to 6,400.80, 8,833.28 and 3,748.32

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Solution

The fourth proportional to 6,400.80, 8,833.28 and 3,748.32 is: 5,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.80 : 8,833.28 = 3,748.32 : x
  2. Step 2: Convert to fraction form
    6,400.80/8,833.28 = 3,748.32/x
  3. Step 3: Cross multiply
    6,400.80x = 8,833.28 × 3,748.32
  4. Step 4: Simplify right side
    6,400.80x = 33,109,960.09
  5. Step 5: Solve for x
    x = 33,109,960.09/6,400.80
  6. Step 6: Final answer
    x = 5,172.78

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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.