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Finding the Fourth Proportional to 13,751.25, 18,981.65 and 8,162.25

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Solution

The fourth proportional to 13,751.25, 18,981.65 and 8,162.25 is: 11,266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.25 : 18,981.65 = 8,162.25 : x
  2. Step 2: Convert to fraction form
    13,751.25/18,981.65 = 8,162.25/x
  3. Step 3: Cross multiply
    13,751.25x = 18,981.65 × 8,162.25
  4. Step 4: Simplify right side
    13,751.25x = 154,932,931.90
  5. Step 5: Solve for x
    x = 154,932,931.90/13,751.25
  6. Step 6: Final answer
    x = 11,266.83

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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.