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Finding the Fourth Proportional to 6,811.36, 10,218.87 and 2,430.07

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Solution

The fourth proportional to 6,811.36, 10,218.87 and 2,430.07 is: 3,645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.36 : 10,218.87 = 2,430.07 : x
  2. Step 2: Convert to fraction form
    6,811.36/10,218.87 = 2,430.07/x
  3. Step 3: Cross multiply
    6,811.36x = 10,218.87 × 2,430.07
  4. Step 4: Simplify right side
    6,811.36x = 24,832,569.42
  5. Step 5: Solve for x
    x = 24,832,569.42/6,811.36
  6. Step 6: Final answer
    x = 3,645.76

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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.