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Finding the Fourth Proportional to 2,871.79, 4,290.22 and 1,823.38

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Solution

The fourth proportional to 2,871.79, 4,290.22 and 1,823.38 is: 2,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.79 : 4,290.22 = 1,823.38 : x
  2. Step 2: Convert to fraction form
    2,871.79/4,290.22 = 1,823.38/x
  3. Step 3: Cross multiply
    2,871.79x = 4,290.22 × 1,823.38
  4. Step 4: Simplify right side
    2,871.79x = 7,822,701.34
  5. Step 5: Solve for x
    x = 7,822,701.34/2,871.79
  6. Step 6: Final answer
    x = 2,723.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.