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Finding the Fourth Proportional to 2,428, 3,658.54 and 2,162.78

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Solution

The fourth proportional to 2,428, 3,658.54 and 2,162.78 is: 3,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428 : 3,658.54 = 2,162.78 : x
  2. Step 2: Convert to fraction form
    2,428/3,658.54 = 2,162.78/x
  3. Step 3: Cross multiply
    2,428x = 3,658.54 × 2,162.78
  4. Step 4: Simplify right side
    2,428x = 7,912,617.14
  5. Step 5: Solve for x
    x = 7,912,617.14/2,428
  6. Step 6: Final answer
    x = 3,258.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.