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Finding the Fourth Proportional to 1,643.64, 2,268.30 and 971.82

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Solution

The fourth proportional to 1,643.64, 2,268.30 and 971.82 is: 1,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.64 : 2,268.30 = 971.82 : x
  2. Step 2: Convert to fraction form
    1,643.64/2,268.30 = 971.82/x
  3. Step 3: Cross multiply
    1,643.64x = 2,268.30 × 971.82
  4. Step 4: Simplify right side
    1,643.64x = 2,204,379.31
  5. Step 5: Solve for x
    x = 2,204,379.31/1,643.64
  6. Step 6: Final answer
    x = 1,341.16

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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.