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Finding the Fourth Proportional to 2,051.22, 3,077.02 and 752.78

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Solution

The fourth proportional to 2,051.22, 3,077.02 and 752.78 is: 1,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.22 : 3,077.02 = 752.78 : x
  2. Step 2: Convert to fraction form
    2,051.22/3,077.02 = 752.78/x
  3. Step 3: Cross multiply
    2,051.22x = 3,077.02 × 752.78
  4. Step 4: Simplify right side
    2,051.22x = 2,316,319.12
  5. Step 5: Solve for x
    x = 2,316,319.12/2,051.22
  6. Step 6: Final answer
    x = 1,129.24

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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.