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Finding the Fourth Proportional to 7,190.40, 10,785.60 and 6,542.40

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Solution

The fourth proportional to 7,190.40, 10,785.60 and 6,542.40 is: 9,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.40 : 10,785.60 = 6,542.40 : x
  2. Step 2: Convert to fraction form
    7,190.40/10,785.60 = 6,542.40/x
  3. Step 3: Cross multiply
    7,190.40x = 10,785.60 × 6,542.40
  4. Step 4: Simplify right side
    7,190.40x = 70,563,709.44
  5. Step 5: Solve for x
    x = 70,563,709.44/7,190.40
  6. Step 6: Final answer
    x = 9,813.60

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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.