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Finding the Fourth Proportional to 1,867.76, 2,801.96 and 771.53

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Solution

The fourth proportional to 1,867.76, 2,801.96 and 771.53 is: 1,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.76 : 2,801.96 = 771.53 : x
  2. Step 2: Convert to fraction form
    1,867.76/2,801.96 = 771.53/x
  3. Step 3: Cross multiply
    1,867.76x = 2,801.96 × 771.53
  4. Step 4: Simplify right side
    1,867.76x = 2,161,781.22
  5. Step 5: Solve for x
    x = 2,161,781.22/1,867.76
  6. Step 6: Final answer
    x = 1,157.42

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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.