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Finding the Fourth Proportional to 1,918.96, 2,877.78 and 748.86

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Solution

The fourth proportional to 1,918.96, 2,877.78 and 748.86 is: 1,123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.96 : 2,877.78 = 748.86 : x
  2. Step 2: Convert to fraction form
    1,918.96/2,877.78 = 748.86/x
  3. Step 3: Cross multiply
    1,918.96x = 2,877.78 × 748.86
  4. Step 4: Simplify right side
    1,918.96x = 2,155,054.33
  5. Step 5: Solve for x
    x = 2,155,054.33/1,918.96
  6. Step 6: Final answer
    x = 1,123.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.