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Finding the Fourth Proportional to 1,641.71, 2,264.04 and 1,223.09

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Solution

The fourth proportional to 1,641.71, 2,264.04 and 1,223.09 is: 1,686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.71 : 2,264.04 = 1,223.09 : x
  2. Step 2: Convert to fraction form
    1,641.71/2,264.04 = 1,223.09/x
  3. Step 3: Cross multiply
    1,641.71x = 2,264.04 × 1,223.09
  4. Step 4: Simplify right side
    1,641.71x = 2,769,124.68
  5. Step 5: Solve for x
    x = 2,769,124.68/1,641.71
  6. Step 6: Final answer
    x = 1,686.73

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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.