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Finding the Fourth Proportional to 13,670.16, 18,864.96 and 8,081.12

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Solution

The fourth proportional to 13,670.16, 18,864.96 and 8,081.12 is: 11,152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.16 : 18,864.96 = 8,081.12 : x
  2. Step 2: Convert to fraction form
    13,670.16/18,864.96 = 8,081.12/x
  3. Step 3: Cross multiply
    13,670.16x = 18,864.96 × 8,081.12
  4. Step 4: Simplify right side
    13,670.16x = 152,450,005.56
  5. Step 5: Solve for x
    x = 152,450,005.56/13,670.16
  6. Step 6: Final answer
    x = 11,152.03

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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.