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Finding the Fourth Proportional to 3,298.18, 4,947.75 and 989.38

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Solution

The fourth proportional to 3,298.18, 4,947.75 and 989.38 is: 1,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.18 : 4,947.75 = 989.38 : x
  2. Step 2: Convert to fraction form
    3,298.18/4,947.75 = 989.38/x
  3. Step 3: Cross multiply
    3,298.18x = 4,947.75 × 989.38
  4. Step 4: Simplify right side
    3,298.18x = 4,895,204.90
  5. Step 5: Solve for x
    x = 4,895,204.90/3,298.18
  6. Step 6: Final answer
    x = 1,484.21

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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.