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Finding the Fourth Proportional to 6,400.30, 8,832.59 and 3,747.82

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Solution

The fourth proportional to 6,400.30, 8,832.59 and 3,747.82 is: 5,172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.30 : 8,832.59 = 3,747.82 : x
  2. Step 2: Convert to fraction form
    6,400.30/8,832.59 = 3,747.82/x
  3. Step 3: Cross multiply
    6,400.30x = 8,832.59 × 3,747.82
  4. Step 4: Simplify right side
    6,400.30x = 33,102,957.45
  5. Step 5: Solve for x
    x = 33,102,957.45/6,400.30
  6. Step 6: Final answer
    x = 5,172.09

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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.