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Finding the Fourth Proportional to 3,378.80, 5,065.80 and 1,530.80

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Solution

The fourth proportional to 3,378.80, 5,065.80 and 1,530.80 is: 2,295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.80 : 5,065.80 = 1,530.80 : x
  2. Step 2: Convert to fraction form
    3,378.80/5,065.80 = 1,530.80/x
  3. Step 3: Cross multiply
    3,378.80x = 5,065.80 × 1,530.80
  4. Step 4: Simplify right side
    3,378.80x = 7,754,726.64
  5. Step 5: Solve for x
    x = 7,754,726.64/3,378.80
  6. Step 6: Final answer
    x = 2,295.11

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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.