Home / 2,178.24-3,005.76-1,294.08

Finding the Fourth Proportional to 2,178.24, 3,005.76 and 1,294.08

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Solution

The fourth proportional to 2,178.24, 3,005.76 and 1,294.08 is: 1,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.24 : 3,005.76 = 1,294.08 : x
  2. Step 2: Convert to fraction form
    2,178.24/3,005.76 = 1,294.08/x
  3. Step 3: Cross multiply
    2,178.24x = 3,005.76 × 1,294.08
  4. Step 4: Simplify right side
    2,178.24x = 3,889,693.90
  5. Step 5: Solve for x
    x = 3,889,693.90/2,178.24
  6. Step 6: Final answer
    x = 1,785.70

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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.