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Finding the Fourth Proportional to 2,877.78, 4,314.51 and 1,489.26

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Solution

The fourth proportional to 2,877.78, 4,314.51 and 1,489.26 is: 2,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.78 : 4,314.51 = 1,489.26 : x
  2. Step 2: Convert to fraction form
    2,877.78/4,314.51 = 1,489.26/x
  3. Step 3: Cross multiply
    2,877.78x = 4,314.51 × 1,489.26
  4. Step 4: Simplify right side
    2,877.78x = 6,425,427.16
  5. Step 5: Solve for x
    x = 6,425,427.16/2,877.78
  6. Step 6: Final answer
    x = 2,232.77

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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.