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Finding the Fourth Proportional to 6,742.80, 10,114.80 and 2,582.64

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Solution

The fourth proportional to 6,742.80, 10,114.80 and 2,582.64 is: 3,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.80 : 10,114.80 = 2,582.64 : x
  2. Step 2: Convert to fraction form
    6,742.80/10,114.80 = 2,582.64/x
  3. Step 3: Cross multiply
    6,742.80x = 10,114.80 × 2,582.64
  4. Step 4: Simplify right side
    6,742.80x = 26,122,887.07
  5. Step 5: Solve for x
    x = 26,122,887.07/6,742.80
  6. Step 6: Final answer
    x = 3,874.19

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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.