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Finding the Fourth Proportional to 2,639.88, 3,642 and 1,854.48

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Solution

The fourth proportional to 2,639.88, 3,642 and 1,854.48 is: 2,558.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.88 : 3,642 = 1,854.48 : x
  2. Step 2: Convert to fraction form
    2,639.88/3,642 = 1,854.48/x
  3. Step 3: Cross multiply
    2,639.88x = 3,642 × 1,854.48
  4. Step 4: Simplify right side
    2,639.88x = 6,754,016.16
  5. Step 5: Solve for x
    x = 6,754,016.16/2,639.88
  6. Step 6: Final answer
    x = 2,558.46

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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.