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Finding the Fourth Proportional to 13,099.51, 18,074.50 and 8,382.88

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Solution

The fourth proportional to 13,099.51, 18,074.50 and 8,382.88 is: 11,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.51 : 18,074.50 = 8,382.88 : x
  2. Step 2: Convert to fraction form
    13,099.51/18,074.50 = 8,382.88/x
  3. Step 3: Cross multiply
    13,099.51x = 18,074.50 × 8,382.88
  4. Step 4: Simplify right side
    13,099.51x = 151,516,364.56
  5. Step 5: Solve for x
    x = 151,516,364.56/13,099.51
  6. Step 6: Final answer
    x = 11,566.57

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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.