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Finding the Fourth Proportional to 3,977.84, 5,471.16 and 3,190.16

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Solution

The fourth proportional to 3,977.84, 5,471.16 and 3,190.16 is: 4,387.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.84 : 5,471.16 = 3,190.16 : x
  2. Step 2: Convert to fraction form
    3,977.84/5,471.16 = 3,190.16/x
  3. Step 3: Cross multiply
    3,977.84x = 5,471.16 × 3,190.16
  4. Step 4: Simplify right side
    3,977.84x = 17,453,875.79
  5. Step 5: Solve for x
    x = 17,453,875.79/3,977.84
  6. Step 6: Final answer
    x = 4,387.78

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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.