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Finding the Fourth Proportional to 7,105.20, 10,657.80 and 6,490.80

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Solution

The fourth proportional to 7,105.20, 10,657.80 and 6,490.80 is: 9,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.20 : 10,657.80 = 6,490.80 : x
  2. Step 2: Convert to fraction form
    7,105.20/10,657.80 = 6,490.80/x
  3. Step 3: Cross multiply
    7,105.20x = 10,657.80 × 6,490.80
  4. Step 4: Simplify right side
    7,105.20x = 69,177,648.24
  5. Step 5: Solve for x
    x = 69,177,648.24/7,105.20
  6. Step 6: Final answer
    x = 9,736.20

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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.