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Finding the Fourth Proportional to 2,868.55, 3,959.42 and 1,690.31

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Solution

The fourth proportional to 2,868.55, 3,959.42 and 1,690.31 is: 2,333.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.55 : 3,959.42 = 1,690.31 : x
  2. Step 2: Convert to fraction form
    2,868.55/3,959.42 = 1,690.31/x
  3. Step 3: Cross multiply
    2,868.55x = 3,959.42 × 1,690.31
  4. Step 4: Simplify right side
    2,868.55x = 6,692,647.22
  5. Step 5: Solve for x
    x = 6,692,647.22/2,868.55
  6. Step 6: Final answer
    x = 2,333.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.