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Finding the Fourth Proportional to 13,776.97, 19,012.20 and 8,187.97

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Solution

The fourth proportional to 13,776.97, 19,012.20 and 8,187.97 is: 11,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.97 : 19,012.20 = 8,187.97 : x
  2. Step 2: Convert to fraction form
    13,776.97/19,012.20 = 8,187.97/x
  3. Step 3: Cross multiply
    13,776.97x = 19,012.20 × 8,187.97
  4. Step 4: Simplify right side
    13,776.97x = 155,671,323.23
  5. Step 5: Solve for x
    x = 155,671,323.23/13,776.97
  6. Step 6: Final answer
    x = 11,299.39

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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.