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Finding the Fourth Proportional to 6,400.32, 8,832.48 and 4,043.52

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Solution

The fourth proportional to 6,400.32, 8,832.48 and 4,043.52 is: 5,580.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.32 : 8,832.48 = 4,043.52 : x
  2. Step 2: Convert to fraction form
    6,400.32/8,832.48 = 4,043.52/x
  3. Step 3: Cross multiply
    6,400.32x = 8,832.48 × 4,043.52
  4. Step 4: Simplify right side
    6,400.32x = 35,714,309.53
  5. Step 5: Solve for x
    x = 35,714,309.53/6,400.32
  6. Step 6: Final answer
    x = 5,580.08

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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.