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Finding the Fourth Proportional to 1,877.77, 2,811.79 and 1,294.57

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Solution

The fourth proportional to 1,877.77, 2,811.79 and 1,294.57 is: 1,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.77 : 2,811.79 = 1,294.57 : x
  2. Step 2: Convert to fraction form
    1,877.77/2,811.79 = 1,294.57/x
  3. Step 3: Cross multiply
    1,877.77x = 2,811.79 × 1,294.57
  4. Step 4: Simplify right side
    1,877.77x = 3,640,058.98
  5. Step 5: Solve for x
    x = 3,640,058.98/1,877.77
  6. Step 6: Final answer
    x = 1,938.50

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1.5x scale

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.