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Finding the Fourth Proportional to 2,969.61, 4,098.15 and 1,643.46

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Solution

The fourth proportional to 2,969.61, 4,098.15 and 1,643.46 is: 2,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.61 : 4,098.15 = 1,643.46 : x
  2. Step 2: Convert to fraction form
    2,969.61/4,098.15 = 1,643.46/x
  3. Step 3: Cross multiply
    2,969.61x = 4,098.15 × 1,643.46
  4. Step 4: Simplify right side
    2,969.61x = 6,735,145.60
  5. Step 5: Solve for x
    x = 6,735,145.60/2,969.61
  6. Step 6: Final answer
    x = 2,268.02

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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.