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Finding the Fourth Proportional to 4,103, 5,660.34 and 3,113

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Solution

The fourth proportional to 4,103, 5,660.34 and 3,113 is: 4,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103 : 5,660.34 = 3,113 : x
  2. Step 2: Convert to fraction form
    4,103/5,660.34 = 3,113/x
  3. Step 3: Cross multiply
    4,103x = 5,660.34 × 3,113
  4. Step 4: Simplify right side
    4,103x = 17,620,638.42
  5. Step 5: Solve for x
    x = 17,620,638.42/4,103
  6. Step 6: Final answer
    x = 4,294.57

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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.