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Finding the Fourth Proportional to 6,811.24, 9,403.86 and 5,316.52

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Solution

The fourth proportional to 6,811.24, 9,403.86 and 5,316.52 is: 7,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.24 : 9,403.86 = 5,316.52 : x
  2. Step 2: Convert to fraction form
    6,811.24/9,403.86 = 5,316.52/x
  3. Step 3: Cross multiply
    6,811.24x = 9,403.86 × 5,316.52
  4. Step 4: Simplify right side
    6,811.24x = 49,995,809.77
  5. Step 5: Solve for x
    x = 49,995,809.77/6,811.24
  6. Step 6: Final answer
    x = 7,340.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.