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Finding the Fourth Proportional to 2,591.84, 3,887.76 and 2,206.32

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Solution

The fourth proportional to 2,591.84, 3,887.76 and 2,206.32 is: 3,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.84 : 3,887.76 = 2,206.32 : x
  2. Step 2: Convert to fraction form
    2,591.84/3,887.76 = 2,206.32/x
  3. Step 3: Cross multiply
    2,591.84x = 3,887.76 × 2,206.32
  4. Step 4: Simplify right side
    2,591.84x = 8,577,642.64
  5. Step 5: Solve for x
    x = 8,577,642.64/2,591.84
  6. Step 6: Final answer
    x = 3,309.48

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Similar ratio
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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.