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Finding the Fourth Proportional to 7,314.10, 10,971.11 and 2,928.42

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Solution

The fourth proportional to 7,314.10, 10,971.11 and 2,928.42 is: 4,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.10 : 10,971.11 = 2,928.42 : x
  2. Step 2: Convert to fraction form
    7,314.10/10,971.11 = 2,928.42/x
  3. Step 3: Cross multiply
    7,314.10x = 10,971.11 × 2,928.42
  4. Step 4: Simplify right side
    7,314.10x = 32,128,025.27
  5. Step 5: Solve for x
    x = 32,128,025.27/7,314.10
  6. Step 6: Final answer
    x = 4,392.62

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1.5x scale

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.