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Finding the Fourth Proportional to 5,681.84, 7,839.24 and 3,694.64

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Solution

The fourth proportional to 5,681.84, 7,839.24 and 3,694.64 is: 5,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.84 : 7,839.24 = 3,694.64 : x
  2. Step 2: Convert to fraction form
    5,681.84/7,839.24 = 3,694.64/x
  3. Step 3: Cross multiply
    5,681.84x = 7,839.24 × 3,694.64
  4. Step 4: Simplify right side
    5,681.84x = 28,963,169.67
  5. Step 5: Solve for x
    x = 28,963,169.67/5,681.84
  6. Step 6: Final answer
    x = 5,097.50

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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.