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Finding the Fourth Proportional to 2,969.79, 4,098.13 and 1,643.41

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Solution

The fourth proportional to 2,969.79, 4,098.13 and 1,643.41 is: 2,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.79 : 4,098.13 = 1,643.41 : x
  2. Step 2: Convert to fraction form
    2,969.79/4,098.13 = 1,643.41/x
  3. Step 3: Cross multiply
    2,969.79x = 4,098.13 × 1,643.41
  4. Step 4: Simplify right side
    2,969.79x = 6,734,908.84
  5. Step 5: Solve for x
    x = 6,734,908.84/2,969.79
  6. Step 6: Final answer
    x = 2,267.81

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Why These Related Problems?

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