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Finding the Fourth Proportional to 3,736, 5,155.80 and 2,057.32

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Solution

The fourth proportional to 3,736, 5,155.80 and 2,057.32 is: 2,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736 : 5,155.80 = 2,057.32 : x
  2. Step 2: Convert to fraction form
    3,736/5,155.80 = 2,057.32/x
  3. Step 3: Cross multiply
    3,736x = 5,155.80 × 2,057.32
  4. Step 4: Simplify right side
    3,736x = 10,607,130.46
  5. Step 5: Solve for x
    x = 10,607,130.46/3,736
  6. Step 6: Final answer
    x = 2,839.17

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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.