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Finding the Fourth Proportional to 1,508.80, 2,250.80 and 1,378.24

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Solution

The fourth proportional to 1,508.80, 2,250.80 and 1,378.24 is: 2,056.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.80 : 2,250.80 = 1,378.24 : x
  2. Step 2: Convert to fraction form
    1,508.80/2,250.80 = 1,378.24/x
  3. Step 3: Cross multiply
    1,508.80x = 2,250.80 × 1,378.24
  4. Step 4: Simplify right side
    1,508.80x = 3,102,142.59
  5. Step 5: Solve for x
    x = 3,102,142.59/1,508.80
  6. Step 6: Final answer
    x = 2,056.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.