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Finding the Fourth Proportional to 13,780.28, 19,018.43 and 8,191.28

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Solution

The fourth proportional to 13,780.28, 19,018.43 and 8,191.28 is: 11,304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.28 : 19,018.43 = 8,191.28 : x
  2. Step 2: Convert to fraction form
    13,780.28/19,018.43 = 8,191.28/x
  3. Step 3: Cross multiply
    13,780.28x = 19,018.43 × 8,191.28
  4. Step 4: Simplify right side
    13,780.28x = 155,785,285.29
  5. Step 5: Solve for x
    x = 155,785,285.29/13,780.28
  6. Step 6: Final answer
    x = 11,304.94

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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.