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Finding the Fourth Proportional to 5,251.86, 7,247.56 and 2,894

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Solution

The fourth proportional to 5,251.86, 7,247.56 and 2,894 is: 3,993.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.86 : 7,247.56 = 2,894 : x
  2. Step 2: Convert to fraction form
    5,251.86/7,247.56 = 2,894/x
  3. Step 3: Cross multiply
    5,251.86x = 7,247.56 × 2,894
  4. Step 4: Simplify right side
    5,251.86x = 20,974,438.64
  5. Step 5: Solve for x
    x = 20,974,438.64/5,251.86
  6. Step 6: Final answer
    x = 3,993.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.