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Finding the Fourth Proportional to 1,305.50, 1,954.40 and 1,143.50

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Solution

The fourth proportional to 1,305.50, 1,954.40 and 1,143.50 is: 1,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.50 : 1,954.40 = 1,143.50 : x
  2. Step 2: Convert to fraction form
    1,305.50/1,954.40 = 1,143.50/x
  3. Step 3: Cross multiply
    1,305.50x = 1,954.40 × 1,143.50
  4. Step 4: Simplify right side
    1,305.50x = 2,234,840.91
  5. Step 5: Solve for x
    x = 2,234,840.91/1,305.50
  6. Step 6: Final answer
    x = 1,711.87

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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.