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Finding the Fourth Proportional to 1,877.70, 2,811.34 and 948.71

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Solution

The fourth proportional to 1,877.70, 2,811.34 and 948.71 is: 1,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.70 : 2,811.34 = 948.71 : x
  2. Step 2: Convert to fraction form
    1,877.70/2,811.34 = 948.71/x
  3. Step 3: Cross multiply
    1,877.70x = 2,811.34 × 948.71
  4. Step 4: Simplify right side
    1,877.70x = 2,667,154.59
  5. Step 5: Solve for x
    x = 2,667,154.59/1,877.70
  6. Step 6: Final answer
    x = 1,420.44

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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.