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Finding the Fourth Proportional to 5,308.80, 7,966.98 and 2,389.56

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Solution

The fourth proportional to 5,308.80, 7,966.98 and 2,389.56 is: 3,586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.80 : 7,966.98 = 2,389.56 : x
  2. Step 2: Convert to fraction form
    5,308.80/7,966.98 = 2,389.56/x
  3. Step 3: Cross multiply
    5,308.80x = 7,966.98 × 2,389.56
  4. Step 4: Simplify right side
    5,308.80x = 19,037,576.73
  5. Step 5: Solve for x
    x = 19,037,576.73/5,308.80
  6. Step 6: Final answer
    x = 3,586.04

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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.