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Finding the Fourth Proportional to 2,969.96, 4,098.65 and 1,643.78

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Solution

The fourth proportional to 2,969.96, 4,098.65 and 1,643.78 is: 2,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.96 : 4,098.65 = 1,643.78 : x
  2. Step 2: Convert to fraction form
    2,969.96/4,098.65 = 1,643.78/x
  3. Step 3: Cross multiply
    2,969.96x = 4,098.65 × 1,643.78
  4. Step 4: Simplify right side
    2,969.96x = 6,737,280.92
  5. Step 5: Solve for x
    x = 6,737,280.92/2,969.96
  6. Step 6: Final answer
    x = 2,268.48

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1.5x scale

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.