Home / 2,316.82-3,472.80-1,767.78

Finding the Fourth Proportional to 2,316.82, 3,472.80 and 1,767.78

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Solution

The fourth proportional to 2,316.82, 3,472.80 and 1,767.78 is: 2,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.82 : 3,472.80 = 1,767.78 : x
  2. Step 2: Convert to fraction form
    2,316.82/3,472.80 = 1,767.78/x
  3. Step 3: Cross multiply
    2,316.82x = 3,472.80 × 1,767.78
  4. Step 4: Simplify right side
    2,316.82x = 6,139,146.38
  5. Step 5: Solve for x
    x = 6,139,146.38/2,316.82
  6. Step 6: Final answer
    x = 2,649.82

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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.