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Finding the Fourth Proportional to 3,299.04, 4,948.02 and 990

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Solution

The fourth proportional to 3,299.04, 4,948.02 and 990 is: 1,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.04 : 4,948.02 = 990 : x
  2. Step 2: Convert to fraction form
    3,299.04/4,948.02 = 990/x
  3. Step 3: Cross multiply
    3,299.04x = 4,948.02 × 990
  4. Step 4: Simplify right side
    3,299.04x = 4,898,539.80
  5. Step 5: Solve for x
    x = 4,898,539.80/3,299.04
  6. Step 6: Final answer
    x = 1,484.84

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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.