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Finding the Fourth Proportional to 13,754.25, 18,985.19 and 8,786.25

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Solution

The fourth proportional to 13,754.25, 18,985.19 and 8,786.25 is: 12,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.25 : 18,985.19 = 8,786.25 : x
  2. Step 2: Convert to fraction form
    13,754.25/18,985.19 = 8,786.25/x
  3. Step 3: Cross multiply
    13,754.25x = 18,985.19 × 8,786.25
  4. Step 4: Simplify right side
    13,754.25x = 166,808,581.71
  5. Step 5: Solve for x
    x = 166,808,581.71/13,754.25
  6. Step 6: Final answer
    x = 12,127.78

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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.