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Finding the Fourth Proportional to 2,581.99, 3,563.13 and 1,403.05

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Solution

The fourth proportional to 2,581.99, 3,563.13 and 1,403.05 is: 1,936.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.99 : 3,563.13 = 1,403.05 : x
  2. Step 2: Convert to fraction form
    2,581.99/3,563.13 = 1,403.05/x
  3. Step 3: Cross multiply
    2,581.99x = 3,563.13 × 1,403.05
  4. Step 4: Simplify right side
    2,581.99x = 4,999,249.55
  5. Step 5: Solve for x
    x = 4,999,249.55/2,581.99
  6. Step 6: Final answer
    x = 1,936.20

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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.