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Finding the Fourth Proportional to 3,505.67, 5,258.50 and 908.61

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Solution

The fourth proportional to 3,505.67, 5,258.50 and 908.61 is: 1,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.67 : 5,258.50 = 908.61 : x
  2. Step 2: Convert to fraction form
    3,505.67/5,258.50 = 908.61/x
  3. Step 3: Cross multiply
    3,505.67x = 5,258.50 × 908.61
  4. Step 4: Simplify right side
    3,505.67x = 4,777,925.69
  5. Step 5: Solve for x
    x = 4,777,925.69/3,505.67
  6. Step 6: Final answer
    x = 1,362.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.