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Finding the Fourth Proportional to 3,776.95, 5,212.74 and 3,146.59

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Solution

The fourth proportional to 3,776.95, 5,212.74 and 3,146.59 is: 4,342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.95 : 5,212.74 = 3,146.59 : x
  2. Step 2: Convert to fraction form
    3,776.95/5,212.74 = 3,146.59/x
  3. Step 3: Cross multiply
    3,776.95x = 5,212.74 × 3,146.59
  4. Step 4: Simplify right side
    3,776.95x = 16,402,355.56
  5. Step 5: Solve for x
    x = 16,402,355.56/3,776.95
  6. Step 6: Final answer
    x = 4,342.75

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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.