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Finding the Fourth Proportional to 5,257.76, 7,872 and 4,264.64

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Solution

The fourth proportional to 5,257.76, 7,872 and 4,264.64 is: 6,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.76 : 7,872 = 4,264.64 : x
  2. Step 2: Convert to fraction form
    5,257.76/7,872 = 4,264.64/x
  3. Step 3: Cross multiply
    5,257.76x = 7,872 × 4,264.64
  4. Step 4: Simplify right side
    5,257.76x = 33,571,246.08
  5. Step 5: Solve for x
    x = 33,571,246.08/5,257.76
  6. Step 6: Final answer
    x = 6,385.09

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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.