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Finding the Fourth Proportional to 13,765.68, 20,648.16 and 3,377.16

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Solution

The fourth proportional to 13,765.68, 20,648.16 and 3,377.16 is: 5,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.68 : 20,648.16 = 3,377.16 : x
  2. Step 2: Convert to fraction form
    13,765.68/20,648.16 = 3,377.16/x
  3. Step 3: Cross multiply
    13,765.68x = 20,648.16 × 3,377.16
  4. Step 4: Simplify right side
    13,765.68x = 69,732,140.03
  5. Step 5: Solve for x
    x = 69,732,140.03/13,765.68
  6. Step 6: Final answer
    x = 5,065.65

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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.