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Finding the Fourth Proportional to 1,358.37, 1,877.78 and 1,236.87

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Solution

The fourth proportional to 1,358.37, 1,877.78 and 1,236.87 is: 1,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.37 : 1,877.78 = 1,236.87 : x
  2. Step 2: Convert to fraction form
    1,358.37/1,877.78 = 1,236.87/x
  3. Step 3: Cross multiply
    1,358.37x = 1,877.78 × 1,236.87
  4. Step 4: Simplify right side
    1,358.37x = 2,322,572.84
  5. Step 5: Solve for x
    x = 2,322,572.84/1,358.37
  6. Step 6: Final answer
    x = 1,709.82

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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.