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Finding the Fourth Proportional to 1,877.96, 2,811.46 and 1,508.90

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Solution

The fourth proportional to 1,877.96, 2,811.46 and 1,508.90 is: 2,258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.96 : 2,811.46 = 1,508.90 : x
  2. Step 2: Convert to fraction form
    1,877.96/2,811.46 = 1,508.90/x
  3. Step 3: Cross multiply
    1,877.96x = 2,811.46 × 1,508.90
  4. Step 4: Simplify right side
    1,877.96x = 4,242,204.45
  5. Step 5: Solve for x
    x = 4,242,204.45/1,877.96
  6. Step 6: Final answer
    x = 2,258.94

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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.