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Finding the Fourth Proportional to 2,686.88, 3,706 and 2,466.56

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Solution

The fourth proportional to 2,686.88, 3,706 and 2,466.56 is: 3,402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.88 : 3,706 = 2,466.56 : x
  2. Step 2: Convert to fraction form
    2,686.88/3,706 = 2,466.56/x
  3. Step 3: Cross multiply
    2,686.88x = 3,706 × 2,466.56
  4. Step 4: Simplify right side
    2,686.88x = 9,141,071.36
  5. Step 5: Solve for x
    x = 9,141,071.36/2,686.88
  6. Step 6: Final answer
    x = 3,402.11

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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.