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Finding the Fourth Proportional to 4,751.76, 7,121.50 and 2,557.92

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Solution

The fourth proportional to 4,751.76, 7,121.50 and 2,557.92 is: 3,833.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.76 : 7,121.50 = 2,557.92 : x
  2. Step 2: Convert to fraction form
    4,751.76/7,121.50 = 2,557.92/x
  3. Step 3: Cross multiply
    4,751.76x = 7,121.50 × 2,557.92
  4. Step 4: Simplify right side
    4,751.76x = 18,216,227.28
  5. Step 5: Solve for x
    x = 18,216,227.28/4,751.76
  6. Step 6: Final answer
    x = 3,833.57

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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.