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Finding the Fourth Proportional to 5,415.50, 8,123.29 and 1,311.50

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Solution

The fourth proportional to 5,415.50, 8,123.29 and 1,311.50 is: 1,967.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.50 : 8,123.29 = 1,311.50 : x
  2. Step 2: Convert to fraction form
    5,415.50/8,123.29 = 1,311.50/x
  3. Step 3: Cross multiply
    5,415.50x = 8,123.29 × 1,311.50
  4. Step 4: Simplify right side
    5,415.50x = 10,653,694.84
  5. Step 5: Solve for x
    x = 10,653,694.84/5,415.50
  6. Step 6: Final answer
    x = 1,967.26

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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.