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Finding the Fourth Proportional to 7,435.20, 11,131.20 and 7,219.20

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Solution

The fourth proportional to 7,435.20, 11,131.20 and 7,219.20 is: 10,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.20 : 11,131.20 = 7,219.20 : x
  2. Step 2: Convert to fraction form
    7,435.20/11,131.20 = 7,219.20/x
  3. Step 3: Cross multiply
    7,435.20x = 11,131.20 × 7,219.20
  4. Step 4: Simplify right side
    7,435.20x = 80,358,359.04
  5. Step 5: Solve for x
    x = 80,358,359.04/7,435.20
  6. Step 6: Final answer
    x = 10,807.83

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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.