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Finding the Fourth Proportional to 3,086.76, 4,630.12 and 778.26

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Solution

The fourth proportional to 3,086.76, 4,630.12 and 778.26 is: 1,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.76 : 4,630.12 = 778.26 : x
  2. Step 2: Convert to fraction form
    3,086.76/4,630.12 = 778.26/x
  3. Step 3: Cross multiply
    3,086.76x = 4,630.12 × 778.26
  4. Step 4: Simplify right side
    3,086.76x = 3,603,437.19
  5. Step 5: Solve for x
    x = 3,603,437.19/3,086.76
  6. Step 6: Final answer
    x = 1,167.38

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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.