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Finding the Fourth Proportional to 1,955.22, 2,692.08 and 1,659.84

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Solution

The fourth proportional to 1,955.22, 2,692.08 and 1,659.84 is: 2,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.22 : 2,692.08 = 1,659.84 : x
  2. Step 2: Convert to fraction form
    1,955.22/2,692.08 = 1,659.84/x
  3. Step 3: Cross multiply
    1,955.22x = 2,692.08 × 1,659.84
  4. Step 4: Simplify right side
    1,955.22x = 4,468,422.07
  5. Step 5: Solve for x
    x = 4,468,422.07/1,955.22
  6. Step 6: Final answer
    x = 2,285.38

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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.