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Finding the Fourth Proportional to 1,641.19, 2,264.84 and 1,221.90

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Solution

The fourth proportional to 1,641.19, 2,264.84 and 1,221.90 is: 1,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.19 : 2,264.84 = 1,221.90 : x
  2. Step 2: Convert to fraction form
    1,641.19/2,264.84 = 1,221.90/x
  3. Step 3: Cross multiply
    1,641.19x = 2,264.84 × 1,221.90
  4. Step 4: Simplify right side
    1,641.19x = 2,767,406.47
  5. Step 5: Solve for x
    x = 2,767,406.47/1,641.19
  6. Step 6: Final answer
    x = 1,686.22

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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.