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Finding the Fourth Proportional to 2,586.97, 3,570.11 and 1,408.08

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Solution

The fourth proportional to 2,586.97, 3,570.11 and 1,408.08 is: 1,943.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.97 : 3,570.11 = 1,408.08 : x
  2. Step 2: Convert to fraction form
    2,586.97/3,570.11 = 1,408.08/x
  3. Step 3: Cross multiply
    2,586.97x = 3,570.11 × 1,408.08
  4. Step 4: Simplify right side
    2,586.97x = 5,027,000.49
  5. Step 5: Solve for x
    x = 5,027,000.49/2,586.97
  6. Step 6: Final answer
    x = 1,943.20

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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.