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Finding the Fourth Proportional to 4,913.28, 7,370.42 and 1,991.84

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Solution

The fourth proportional to 4,913.28, 7,370.42 and 1,991.84 is: 2,987.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.28 : 7,370.42 = 1,991.84 : x
  2. Step 2: Convert to fraction form
    4,913.28/7,370.42 = 1,991.84/x
  3. Step 3: Cross multiply
    4,913.28x = 7,370.42 × 1,991.84
  4. Step 4: Simplify right side
    4,913.28x = 14,680,697.37
  5. Step 5: Solve for x
    x = 14,680,697.37/4,913.28
  6. Step 6: Final answer
    x = 2,987.96

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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.