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Finding the Fourth Proportional to 3,839.04, 5,304.78 and 3,314.16

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Solution

The fourth proportional to 3,839.04, 5,304.78 and 3,314.16 is: 4,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.04 : 5,304.78 = 3,314.16 : x
  2. Step 2: Convert to fraction form
    3,839.04/5,304.78 = 3,314.16/x
  3. Step 3: Cross multiply
    3,839.04x = 5,304.78 × 3,314.16
  4. Step 4: Simplify right side
    3,839.04x = 17,580,889.68
  5. Step 5: Solve for x
    x = 17,580,889.68/3,839.04
  6. Step 6: Final answer
    x = 4,579.50

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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.