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Finding the Fourth Proportional to 1,375.63, 1,896.57 and 877.39

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Solution

The fourth proportional to 1,375.63, 1,896.57 and 877.39 is: 1,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.63 : 1,896.57 = 877.39 : x
  2. Step 2: Convert to fraction form
    1,375.63/1,896.57 = 877.39/x
  3. Step 3: Cross multiply
    1,375.63x = 1,896.57 × 877.39
  4. Step 4: Simplify right side
    1,375.63x = 1,664,026.81
  5. Step 5: Solve for x
    x = 1,664,026.81/1,375.63
  6. Step 6: Final answer
    x = 1,209.65

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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.