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Finding the Fourth Proportional to 1,275.99, 1,912.19 and 1,014.83

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Solution

The fourth proportional to 1,275.99, 1,912.19 and 1,014.83 is: 1,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.99 : 1,912.19 = 1,014.83 : x
  2. Step 2: Convert to fraction form
    1,275.99/1,912.19 = 1,014.83/x
  3. Step 3: Cross multiply
    1,275.99x = 1,912.19 × 1,014.83
  4. Step 4: Simplify right side
    1,275.99x = 1,940,543.90
  5. Step 5: Solve for x
    x = 1,940,543.90/1,275.99
  6. Step 6: Final answer
    x = 1,520.82

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1.5x scale

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.