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Finding the Fourth Proportional to 10,382.68, 15,555.30 and 5,697.64

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Solution

The fourth proportional to 10,382.68, 15,555.30 and 5,697.64 is: 8,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.68 : 15,555.30 = 5,697.64 : x
  2. Step 2: Convert to fraction form
    10,382.68/15,555.30 = 5,697.64/x
  3. Step 3: Cross multiply
    10,382.68x = 15,555.30 × 5,697.64
  4. Step 4: Simplify right side
    10,382.68x = 88,628,499.49
  5. Step 5: Solve for x
    x = 88,628,499.49/10,382.68
  6. Step 6: Final answer
    x = 8,536.19

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