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Finding the Fourth Proportional to 2,977.68, 4,459.20 and 2,454.48

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Solution

The fourth proportional to 2,977.68, 4,459.20 and 2,454.48 is: 3,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.68 : 4,459.20 = 2,454.48 : x
  2. Step 2: Convert to fraction form
    2,977.68/4,459.20 = 2,454.48/x
  3. Step 3: Cross multiply
    2,977.68x = 4,459.20 × 2,454.48
  4. Step 4: Simplify right side
    2,977.68x = 10,945,017.22
  5. Step 5: Solve for x
    x = 10,945,017.22/2,977.68
  6. Step 6: Final answer
    x = 3,675.69

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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.