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Finding the Fourth Proportional to 4,928.93, 7,382.89 and 3,987.84

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Solution

The fourth proportional to 4,928.93, 7,382.89 and 3,987.84 is: 5,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.93 : 7,382.89 = 3,987.84 : x
  2. Step 2: Convert to fraction form
    4,928.93/7,382.89 = 3,987.84/x
  3. Step 3: Cross multiply
    4,928.93x = 7,382.89 × 3,987.84
  4. Step 4: Simplify right side
    4,928.93x = 29,441,753.60
  5. Step 5: Solve for x
    x = 29,441,753.60/4,928.93
  6. Step 6: Final answer
    x = 5,973.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.