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Finding the Fourth Proportional to 10,449.99, 15,693.32 and 8,112.63

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Solution

The fourth proportional to 10,449.99, 15,693.32 and 8,112.63 is: 12,183.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.99 : 15,693.32 = 8,112.63 : x
  2. Step 2: Convert to fraction form
    10,449.99/15,693.32 = 8,112.63/x
  3. Step 3: Cross multiply
    10,449.99x = 15,693.32 × 8,112.63
  4. Step 4: Simplify right side
    10,449.99x = 127,314,110.81
  5. Step 5: Solve for x
    x = 127,314,110.81/10,449.99
  6. Step 6: Final answer
    x = 12,183.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.