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Finding the Fourth Proportional to 3,655, 5,043.90 and 2,258.56

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Solution

The fourth proportional to 3,655, 5,043.90 and 2,258.56 is: 3,116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655 : 5,043.90 = 2,258.56 : x
  2. Step 2: Convert to fraction form
    3,655/5,043.90 = 2,258.56/x
  3. Step 3: Cross multiply
    3,655x = 5,043.90 × 2,258.56
  4. Step 4: Simplify right side
    3,655x = 11,391,950.78
  5. Step 5: Solve for x
    x = 11,391,950.78/3,655
  6. Step 6: Final answer
    x = 3,116.81

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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.