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Finding the Fourth Proportional to 2,969.81, 4,098.17 and 1,643.72

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Solution

The fourth proportional to 2,969.81, 4,098.17 and 1,643.72 is: 2,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.81 : 4,098.17 = 1,643.72 : x
  2. Step 2: Convert to fraction form
    2,969.81/4,098.17 = 1,643.72/x
  3. Step 3: Cross multiply
    2,969.81x = 4,098.17 × 1,643.72
  4. Step 4: Simplify right side
    2,969.81x = 6,736,235.77
  5. Step 5: Solve for x
    x = 6,736,235.77/2,969.81
  6. Step 6: Final answer
    x = 2,268.24

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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.