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Finding the Fourth Proportional to 1,297.53, 1,936.02 and 1,218.75

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Solution

The fourth proportional to 1,297.53, 1,936.02 and 1,218.75 is: 1,818.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.53 : 1,936.02 = 1,218.75 : x
  2. Step 2: Convert to fraction form
    1,297.53/1,936.02 = 1,218.75/x
  3. Step 3: Cross multiply
    1,297.53x = 1,936.02 × 1,218.75
  4. Step 4: Simplify right side
    1,297.53x = 2,359,524.38
  5. Step 5: Solve for x
    x = 2,359,524.38/1,297.53
  6. Step 6: Final answer
    x = 1,818.47

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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.