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Finding the Fourth Proportional to 5,277.65, 7,919.76 and 2,157.67

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Solution

The fourth proportional to 5,277.65, 7,919.76 and 2,157.67 is: 3,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.65 : 7,919.76 = 2,157.67 : x
  2. Step 2: Convert to fraction form
    5,277.65/7,919.76 = 2,157.67/x
  3. Step 3: Cross multiply
    5,277.65x = 7,919.76 × 2,157.67
  4. Step 4: Simplify right side
    5,277.65x = 17,088,246.55
  5. Step 5: Solve for x
    x = 17,088,246.55/5,277.65
  6. Step 6: Final answer
    x = 3,237.85

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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.