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Finding the Fourth Proportional to 7,190.64, 10,785.02 and 2,811.20

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Solution

The fourth proportional to 7,190.64, 10,785.02 and 2,811.20 is: 4,216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.64 : 10,785.02 = 2,811.20 : x
  2. Step 2: Convert to fraction form
    7,190.64/10,785.02 = 2,811.20/x
  3. Step 3: Cross multiply
    7,190.64x = 10,785.02 × 2,811.20
  4. Step 4: Simplify right side
    7,190.64x = 30,318,780.24
  5. Step 5: Solve for x
    x = 30,318,780.24/7,190.64
  6. Step 6: Final answer
    x = 4,216.42

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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.