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Finding the Fourth Proportional to 5,178.32, 7,765.07 and 1,667.67

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Solution

The fourth proportional to 5,178.32, 7,765.07 and 1,667.67 is: 2,500.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.32 : 7,765.07 = 1,667.67 : x
  2. Step 2: Convert to fraction form
    5,178.32/7,765.07 = 1,667.67/x
  3. Step 3: Cross multiply
    5,178.32x = 7,765.07 × 1,667.67
  4. Step 4: Simplify right side
    5,178.32x = 12,949,565.95
  5. Step 5: Solve for x
    x = 12,949,565.95/5,178.32
  6. Step 6: Final answer
    x = 2,500.73

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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.