Home / 2,678.02-4,016.52-729.70

Finding the Fourth Proportional to 2,678.02, 4,016.52 and 729.70

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Solution

The fourth proportional to 2,678.02, 4,016.52 and 729.70 is: 1,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.02 : 4,016.52 = 729.70 : x
  2. Step 2: Convert to fraction form
    2,678.02/4,016.52 = 729.70/x
  3. Step 3: Cross multiply
    2,678.02x = 4,016.52 × 729.70
  4. Step 4: Simplify right side
    2,678.02x = 2,930,854.64
  5. Step 5: Solve for x
    x = 2,930,854.64/2,678.02
  6. Step 6: Final answer
    x = 1,094.41

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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.