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Finding the Fourth Proportional to 13,103, 18,082.14 and 7,215

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Solution

The fourth proportional to 13,103, 18,082.14 and 7,215 is: 9,956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103 : 18,082.14 = 7,215 : x
  2. Step 2: Convert to fraction form
    13,103/18,082.14 = 7,215/x
  3. Step 3: Cross multiply
    13,103x = 18,082.14 × 7,215
  4. Step 4: Simplify right side
    13,103x = 130,462,640.10
  5. Step 5: Solve for x
    x = 130,462,640.10/13,103
  6. Step 6: Final answer
    x = 9,956.70

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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.