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Finding the Fourth Proportional to 2,577, 3,860.52 and 1,696.86

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Solution

The fourth proportional to 2,577, 3,860.52 and 1,696.86 is: 2,542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577 : 3,860.52 = 1,696.86 : x
  2. Step 2: Convert to fraction form
    2,577/3,860.52 = 1,696.86/x
  3. Step 3: Cross multiply
    2,577x = 3,860.52 × 1,696.86
  4. Step 4: Simplify right side
    2,577x = 6,550,761.97
  5. Step 5: Solve for x
    x = 6,550,761.97/2,577
  6. Step 6: Final answer
    x = 2,542.01

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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.