Home / 2,331.67-3,502.64-1,407.78

Finding the Fourth Proportional to 2,331.67, 3,502.64 and 1,407.78

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Solution

The fourth proportional to 2,331.67, 3,502.64 and 1,407.78 is: 2,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.67 : 3,502.64 = 1,407.78 : x
  2. Step 2: Convert to fraction form
    2,331.67/3,502.64 = 1,407.78/x
  3. Step 3: Cross multiply
    2,331.67x = 3,502.64 × 1,407.78
  4. Step 4: Simplify right side
    2,331.67x = 4,930,950.06
  5. Step 5: Solve for x
    x = 4,930,950.06/2,331.67
  6. Step 6: Final answer
    x = 2,114.77

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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.