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Finding the Fourth Proportional to 3,694, 5,097.32 and 2,122.32

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Solution

The fourth proportional to 3,694, 5,097.32 and 2,122.32 is: 2,928.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694 : 5,097.32 = 2,122.32 : x
  2. Step 2: Convert to fraction form
    3,694/5,097.32 = 2,122.32/x
  3. Step 3: Cross multiply
    3,694x = 5,097.32 × 2,122.32
  4. Step 4: Simplify right side
    3,694x = 10,818,144.18
  5. Step 5: Solve for x
    x = 10,818,144.18/3,694
  6. Step 6: Final answer
    x = 2,928.57

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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.