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Finding the Fourth Proportional to 2,322.79, 3,478.11 and 2,187.94

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Solution

The fourth proportional to 2,322.79, 3,478.11 and 2,187.94 is: 3,276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.79 : 3,478.11 = 2,187.94 : x
  2. Step 2: Convert to fraction form
    2,322.79/3,478.11 = 2,187.94/x
  3. Step 3: Cross multiply
    2,322.79x = 3,478.11 × 2,187.94
  4. Step 4: Simplify right side
    2,322.79x = 7,609,895.99
  5. Step 5: Solve for x
    x = 7,609,895.99/2,322.79
  6. Step 6: Final answer
    x = 3,276.19

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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.