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Finding the Fourth Proportional to 4,977.68, 7,458.92 and 2,505.60

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Solution

The fourth proportional to 4,977.68, 7,458.92 and 2,505.60 is: 3,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.68 : 7,458.92 = 2,505.60 : x
  2. Step 2: Convert to fraction form
    4,977.68/7,458.92 = 2,505.60/x
  3. Step 3: Cross multiply
    4,977.68x = 7,458.92 × 2,505.60
  4. Step 4: Simplify right side
    4,977.68x = 18,689,069.95
  5. Step 5: Solve for x
    x = 18,689,069.95/4,977.68
  6. Step 6: Final answer
    x = 3,754.57

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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.