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Finding the Fourth Proportional to 13,754.48, 18,980.87 and 8,088.12

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Solution

The fourth proportional to 13,754.48, 18,980.87 and 8,088.12 is: 11,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.48 : 18,980.87 = 8,088.12 : x
  2. Step 2: Convert to fraction form
    13,754.48/18,980.87 = 8,088.12/x
  3. Step 3: Cross multiply
    13,754.48x = 18,980.87 × 8,088.12
  4. Step 4: Simplify right side
    13,754.48x = 153,519,513.82
  5. Step 5: Solve for x
    x = 153,519,513.82/13,754.48
  6. Step 6: Final answer
    x = 11,161.42

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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.