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Finding the Fourth Proportional to 3,045.79, 4,203.26 and 1,719.42

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Solution

The fourth proportional to 3,045.79, 4,203.26 and 1,719.42 is: 2,372.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.79 : 4,203.26 = 1,719.42 : x
  2. Step 2: Convert to fraction form
    3,045.79/4,203.26 = 1,719.42/x
  3. Step 3: Cross multiply
    3,045.79x = 4,203.26 × 1,719.42
  4. Step 4: Simplify right side
    3,045.79x = 7,227,139.70
  5. Step 5: Solve for x
    x = 7,227,139.70/3,045.79
  6. Step 6: Final answer
    x = 2,372.83

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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.