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Finding the Fourth Proportional to 1,871.80, 2,805.57 and 1,408.12

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Solution

The fourth proportional to 1,871.80, 2,805.57 and 1,408.12 is: 2,110.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.80 : 2,805.57 = 1,408.12 : x
  2. Step 2: Convert to fraction form
    1,871.80/2,805.57 = 1,408.12/x
  3. Step 3: Cross multiply
    1,871.80x = 2,805.57 × 1,408.12
  4. Step 4: Simplify right side
    1,871.80x = 3,950,579.23
  5. Step 5: Solve for x
    x = 3,950,579.23/1,871.80
  6. Step 6: Final answer
    x = 2,110.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.