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Finding the Fourth Proportional to 1,950.75, 2,692.13 and 1,066.59

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Solution

The fourth proportional to 1,950.75, 2,692.13 and 1,066.59 is: 1,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.75 : 2,692.13 = 1,066.59 : x
  2. Step 2: Convert to fraction form
    1,950.75/2,692.13 = 1,066.59/x
  3. Step 3: Cross multiply
    1,950.75x = 2,692.13 × 1,066.59
  4. Step 4: Simplify right side
    1,950.75x = 2,871,393.60
  5. Step 5: Solve for x
    x = 2,871,393.60/1,950.75
  6. Step 6: Final answer
    x = 1,471.94

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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.