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Finding the Fourth Proportional to 1,343.94, 1,999.64 and 1,310.46

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Solution

The fourth proportional to 1,343.94, 1,999.64 and 1,310.46 is: 1,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.94 : 1,999.64 = 1,310.46 : x
  2. Step 2: Convert to fraction form
    1,343.94/1,999.64 = 1,310.46/x
  3. Step 3: Cross multiply
    1,343.94x = 1,999.64 × 1,310.46
  4. Step 4: Simplify right side
    1,343.94x = 2,620,438.24
  5. Step 5: Solve for x
    x = 2,620,438.24/1,343.94
  6. Step 6: Final answer
    x = 1,949.83

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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.