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Finding the Fourth Proportional to 5,015.70, 7,524 and 1,317.87

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Solution

The fourth proportional to 5,015.70, 7,524 and 1,317.87 is: 1,976.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,015.70 : 7,524 = 1,317.87 : x
  2. Step 2: Convert to fraction form
    5,015.70/7,524 = 1,317.87/x
  3. Step 3: Cross multiply
    5,015.70x = 7,524 × 1,317.87
  4. Step 4: Simplify right side
    5,015.70x = 9,915,653.88
  5. Step 5: Solve for x
    x = 9,915,653.88/5,015.70
  6. Step 6: Final answer
    x = 1,976.92

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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.