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Finding the Fourth Proportional to 4,991.59, 7,489.16 and 3,140.64

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Solution

The fourth proportional to 4,991.59, 7,489.16 and 3,140.64 is: 4,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.59 : 7,489.16 = 3,140.64 : x
  2. Step 2: Convert to fraction form
    4,991.59/7,489.16 = 3,140.64/x
  3. Step 3: Cross multiply
    4,991.59x = 7,489.16 × 3,140.64
  4. Step 4: Simplify right side
    4,991.59x = 23,520,751.54
  5. Step 5: Solve for x
    x = 23,520,751.54/4,991.59
  6. Step 6: Final answer
    x = 4,712.07

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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.