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Finding the Fourth Proportional to 2,784.80, 4,165.20 and 2,494.40

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Solution

The fourth proportional to 2,784.80, 4,165.20 and 2,494.40 is: 3,730.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.80 : 4,165.20 = 2,494.40 : x
  2. Step 2: Convert to fraction form
    2,784.80/4,165.20 = 2,494.40/x
  3. Step 3: Cross multiply
    2,784.80x = 4,165.20 × 2,494.40
  4. Step 4: Simplify right side
    2,784.80x = 10,389,674.88
  5. Step 5: Solve for x
    x = 10,389,674.88/2,784.80
  6. Step 6: Final answer
    x = 3,730.85

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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.