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Finding the Fourth Proportional to 7,782.75, 10,744.25 and 4,800.20

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Solution

The fourth proportional to 7,782.75, 10,744.25 and 4,800.20 is: 6,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.75 : 10,744.25 = 4,800.20 : x
  2. Step 2: Convert to fraction form
    7,782.75/10,744.25 = 4,800.20/x
  3. Step 3: Cross multiply
    7,782.75x = 10,744.25 × 4,800.20
  4. Step 4: Simplify right side
    7,782.75x = 51,574,471.13
  5. Step 5: Solve for x
    x = 51,574,471.13/7,782.75
  6. Step 6: Final answer
    x = 6,626.77

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.