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Finding the Fourth Proportional to 13,874, 19,146.12 and 7,586.42

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Solution

The fourth proportional to 13,874, 19,146.12 and 7,586.42 is: 10,469.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874 : 19,146.12 = 7,586.42 : x
  2. Step 2: Convert to fraction form
    13,874/19,146.12 = 7,586.42/x
  3. Step 3: Cross multiply
    13,874x = 19,146.12 × 7,586.42
  4. Step 4: Simplify right side
    13,874x = 145,250,507.69
  5. Step 5: Solve for x
    x = 145,250,507.69/13,874
  6. Step 6: Final answer
    x = 10,469.26

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1.5x scale

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.