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Finding the Fourth Proportional to 5,299.12, 7,948.72 and 2,990.08

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Solution

The fourth proportional to 5,299.12, 7,948.72 and 2,990.08 is: 4,485.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.12 : 7,948.72 = 2,990.08 : x
  2. Step 2: Convert to fraction form
    5,299.12/7,948.72 = 2,990.08/x
  3. Step 3: Cross multiply
    5,299.12x = 7,948.72 × 2,990.08
  4. Step 4: Simplify right side
    5,299.12x = 23,767,308.70
  5. Step 5: Solve for x
    x = 23,767,308.70/5,299.12
  6. Step 6: Final answer
    x = 4,485.14

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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.