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Finding the Fourth Proportional to 2,635.12, 3,952.68 and 786.23

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Solution

The fourth proportional to 2,635.12, 3,952.68 and 786.23 is: 1,179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.12 : 3,952.68 = 786.23 : x
  2. Step 2: Convert to fraction form
    2,635.12/3,952.68 = 786.23/x
  3. Step 3: Cross multiply
    2,635.12x = 3,952.68 × 786.23
  4. Step 4: Simplify right side
    2,635.12x = 3,107,715.60
  5. Step 5: Solve for x
    x = 3,107,715.60/2,635.12
  6. Step 6: Final answer
    x = 1,179.35

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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.