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Finding the Fourth Proportional to 1,657.80, 2,286.90 and 1,126.44

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Solution

The fourth proportional to 1,657.80, 2,286.90 and 1,126.44 is: 1,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.80 : 2,286.90 = 1,126.44 : x
  2. Step 2: Convert to fraction form
    1,657.80/2,286.90 = 1,126.44/x
  3. Step 3: Cross multiply
    1,657.80x = 2,286.90 × 1,126.44
  4. Step 4: Simplify right side
    1,657.80x = 2,576,055.64
  5. Step 5: Solve for x
    x = 2,576,055.64/1,657.80
  6. Step 6: Final answer
    x = 1,553.90

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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.