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Finding the Fourth Proportional to 7,808.77, 11,714.37 and 2,542.53

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Solution

The fourth proportional to 7,808.77, 11,714.37 and 2,542.53 is: 3,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.77 : 11,714.37 = 2,542.53 : x
  2. Step 2: Convert to fraction form
    7,808.77/11,714.37 = 2,542.53/x
  3. Step 3: Cross multiply
    7,808.77x = 11,714.37 × 2,542.53
  4. Step 4: Simplify right side
    7,808.77x = 29,784,155.08
  5. Step 5: Solve for x
    x = 29,784,155.08/7,808.77
  6. Step 6: Final answer
    x = 3,814.20

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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.