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Finding the Fourth Proportional to 1,692.10, 2,335.49 and 1,101.61

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Solution

The fourth proportional to 1,692.10, 2,335.49 and 1,101.61 is: 1,520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.10 : 2,335.49 = 1,101.61 : x
  2. Step 2: Convert to fraction form
    1,692.10/2,335.49 = 1,101.61/x
  3. Step 3: Cross multiply
    1,692.10x = 2,335.49 × 1,101.61
  4. Step 4: Simplify right side
    1,692.10x = 2,572,799.14
  5. Step 5: Solve for x
    x = 2,572,799.14/1,692.10
  6. Step 6: Final answer
    x = 1,520.48

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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.