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Finding the Fourth Proportional to 4,425.60, 6,647.52 and 4,278

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Solution

The fourth proportional to 4,425.60, 6,647.52 and 4,278 is: 6,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425.60 : 6,647.52 = 4,278 : x
  2. Step 2: Convert to fraction form
    4,425.60/6,647.52 = 4,278/x
  3. Step 3: Cross multiply
    4,425.60x = 6,647.52 × 4,278
  4. Step 4: Simplify right side
    4,425.60x = 28,438,090.56
  5. Step 5: Solve for x
    x = 28,438,090.56/4,425.60
  6. Step 6: Final answer
    x = 6,425.82

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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.