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Finding the Fourth Proportional to 13,842.11, 19,103.65 and 7,874.93

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Solution

The fourth proportional to 13,842.11, 19,103.65 and 7,874.93 is: 10,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.11 : 19,103.65 = 7,874.93 : x
  2. Step 2: Convert to fraction form
    13,842.11/19,103.65 = 7,874.93/x
  3. Step 3: Cross multiply
    13,842.11x = 19,103.65 × 7,874.93
  4. Step 4: Simplify right side
    13,842.11x = 150,439,934.57
  5. Step 5: Solve for x
    x = 150,439,934.57/13,842.11
  6. Step 6: Final answer
    x = 10,868.28

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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.