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Finding the Fourth Proportional to 2,178.92, 3,005.91 and 1,294.22

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Solution

The fourth proportional to 2,178.92, 3,005.91 and 1,294.22 is: 1,785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.92 : 3,005.91 = 1,294.22 : x
  2. Step 2: Convert to fraction form
    2,178.92/3,005.91 = 1,294.22/x
  3. Step 3: Cross multiply
    2,178.92x = 3,005.91 × 1,294.22
  4. Step 4: Simplify right side
    2,178.92x = 3,890,293.81
  5. Step 5: Solve for x
    x = 3,890,293.81/2,178.92
  6. Step 6: Final answer
    x = 1,785.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.