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Finding the Fourth Proportional to 13,780.38, 19,017 and 8,115.38

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Solution

The fourth proportional to 13,780.38, 19,017 and 8,115.38 is: 11,199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.38 : 19,017 = 8,115.38 : x
  2. Step 2: Convert to fraction form
    13,780.38/19,017 = 8,115.38/x
  3. Step 3: Cross multiply
    13,780.38x = 19,017 × 8,115.38
  4. Step 4: Simplify right side
    13,780.38x = 154,330,086.38
  5. Step 5: Solve for x
    x = 154,330,086.38/13,780.38
  6. Step 6: Final answer
    x = 11,199.26

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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.