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Finding the Fourth Proportional to 5,311.25, 7,966.25 and 1,415.96

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Solution

The fourth proportional to 5,311.25, 7,966.25 and 1,415.96 is: 2,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.25 : 7,966.25 = 1,415.96 : x
  2. Step 2: Convert to fraction form
    5,311.25/7,966.25 = 1,415.96/x
  3. Step 3: Cross multiply
    5,311.25x = 7,966.25 × 1,415.96
  4. Step 4: Simplify right side
    5,311.25x = 11,279,844.44
  5. Step 5: Solve for x
    x = 11,279,844.44/5,311.25
  6. Step 6: Final answer
    x = 2,123.77

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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.