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Finding the Fourth Proportional to 1,743.05, 2,405.52 and 986.57

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Solution

The fourth proportional to 1,743.05, 2,405.52 and 986.57 is: 1,361.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.05 : 2,405.52 = 986.57 : x
  2. Step 2: Convert to fraction form
    1,743.05/2,405.52 = 986.57/x
  3. Step 3: Cross multiply
    1,743.05x = 2,405.52 × 986.57
  4. Step 4: Simplify right side
    1,743.05x = 2,373,201.84
  5. Step 5: Solve for x
    x = 2,373,201.84/1,743.05
  6. Step 6: Final answer
    x = 1,361.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.