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Finding the Fourth Proportional to 2,672.90, 3,686.87 and 1,677.31

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Solution

The fourth proportional to 2,672.90, 3,686.87 and 1,677.31 is: 2,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.90 : 3,686.87 = 1,677.31 : x
  2. Step 2: Convert to fraction form
    2,672.90/3,686.87 = 1,677.31/x
  3. Step 3: Cross multiply
    2,672.90x = 3,686.87 × 1,677.31
  4. Step 4: Simplify right side
    2,672.90x = 6,184,009.46
  5. Step 5: Solve for x
    x = 6,184,009.46/2,672.90
  6. Step 6: Final answer
    x = 2,313.60

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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.