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Finding the Fourth Proportional to 2,715.71, 3,741.89 and 1,829.97

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Solution

The fourth proportional to 2,715.71, 3,741.89 and 1,829.97 is: 2,521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.71 : 3,741.89 = 1,829.97 : x
  2. Step 2: Convert to fraction form
    2,715.71/3,741.89 = 1,829.97/x
  3. Step 3: Cross multiply
    2,715.71x = 3,741.89 × 1,829.97
  4. Step 4: Simplify right side
    2,715.71x = 6,847,537.29
  5. Step 5: Solve for x
    x = 6,847,537.29/2,715.71
  6. Step 6: Final answer
    x = 2,521.46

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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.