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Finding the Fourth Proportional to 13,874, 19,146.04 and 7,586.40

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Solution

The fourth proportional to 13,874, 19,146.04 and 7,586.40 is: 10,469.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874 : 19,146.04 = 7,586.40 : x
  2. Step 2: Convert to fraction form
    13,874/19,146.04 = 7,586.40/x
  3. Step 3: Cross multiply
    13,874x = 19,146.04 × 7,586.40
  4. Step 4: Simplify right side
    13,874x = 145,249,517.86
  5. Step 5: Solve for x
    x = 145,249,517.86/13,874
  6. Step 6: Final answer
    x = 10,469.19

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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.