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Finding the Fourth Proportional to 3,502.80, 5,254.34 and 905.67

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Solution

The fourth proportional to 3,502.80, 5,254.34 and 905.67 is: 1,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.80 : 5,254.34 = 905.67 : x
  2. Step 2: Convert to fraction form
    3,502.80/5,254.34 = 905.67/x
  3. Step 3: Cross multiply
    3,502.80x = 5,254.34 × 905.67
  4. Step 4: Simplify right side
    3,502.80x = 4,758,693.58
  5. Step 5: Solve for x
    x = 4,758,693.58/3,502.80
  6. Step 6: Final answer
    x = 1,358.54

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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.