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Finding the Fourth Proportional to 2,880.67, 4,322.01 and 1,649.11

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Solution

The fourth proportional to 2,880.67, 4,322.01 and 1,649.11 is: 2,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.67 : 4,322.01 = 1,649.11 : x
  2. Step 2: Convert to fraction form
    2,880.67/4,322.01 = 1,649.11/x
  3. Step 3: Cross multiply
    2,880.67x = 4,322.01 × 1,649.11
  4. Step 4: Simplify right side
    2,880.67x = 7,127,469.91
  5. Step 5: Solve for x
    x = 7,127,469.91/2,880.67
  6. Step 6: Final answer
    x = 2,474.24

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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.