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Finding the Fourth Proportional to 3,299.12, 4,948.80 and 990.80

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Solution

The fourth proportional to 3,299.12, 4,948.80 and 990.80 is: 1,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.12 : 4,948.80 = 990.80 : x
  2. Step 2: Convert to fraction form
    3,299.12/4,948.80 = 990.80/x
  3. Step 3: Cross multiply
    3,299.12x = 4,948.80 × 990.80
  4. Step 4: Simplify right side
    3,299.12x = 4,903,271.04
  5. Step 5: Solve for x
    x = 4,903,271.04/3,299.12
  6. Step 6: Final answer
    x = 1,486.24

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1.5x scale

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.