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Finding the Fourth Proportional to 5,288.70, 7,932.50 and 1,393.14

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Solution

The fourth proportional to 5,288.70, 7,932.50 and 1,393.14 is: 2,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.70 : 7,932.50 = 1,393.14 : x
  2. Step 2: Convert to fraction form
    5,288.70/7,932.50 = 1,393.14/x
  3. Step 3: Cross multiply
    5,288.70x = 7,932.50 × 1,393.14
  4. Step 4: Simplify right side
    5,288.70x = 11,051,083.05
  5. Step 5: Solve for x
    x = 11,051,083.05/5,288.70
  6. Step 6: Final answer
    x = 2,089.57

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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.