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Finding the Fourth Proportional to 3,030.53, 4,545.97 and 839.21

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Solution

The fourth proportional to 3,030.53, 4,545.97 and 839.21 is: 1,258.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,030.53 : 4,545.97 = 839.21 : x
  2. Step 2: Convert to fraction form
    3,030.53/4,545.97 = 839.21/x
  3. Step 3: Cross multiply
    3,030.53x = 4,545.97 × 839.21
  4. Step 4: Simplify right side
    3,030.53x = 3,814,998.66
  5. Step 5: Solve for x
    x = 3,814,998.66/3,030.53
  6. Step 6: Final answer
    x = 1,258.86

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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.