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Finding the Fourth Proportional to 3,363.80, 5,045.81 and 898.63

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Solution

The fourth proportional to 3,363.80, 5,045.81 and 898.63 is: 1,347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.80 : 5,045.81 = 898.63 : x
  2. Step 2: Convert to fraction form
    3,363.80/5,045.81 = 898.63/x
  3. Step 3: Cross multiply
    3,363.80x = 5,045.81 × 898.63
  4. Step 4: Simplify right side
    3,363.80x = 4,534,299.13
  5. Step 5: Solve for x
    x = 4,534,299.13/3,363.80
  6. Step 6: Final answer
    x = 1,347.97

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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.