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Finding the Fourth Proportional to 7,776.32, 10,728.96 and 7,027.88

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Solution

The fourth proportional to 7,776.32, 10,728.96 and 7,027.88 is: 9,696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.32 : 10,728.96 = 7,027.88 : x
  2. Step 2: Convert to fraction form
    7,776.32/10,728.96 = 7,027.88/x
  3. Step 3: Cross multiply
    7,776.32x = 10,728.96 × 7,027.88
  4. Step 4: Simplify right side
    7,776.32x = 75,401,843.40
  5. Step 5: Solve for x
    x = 75,401,843.40/7,776.32
  6. Step 6: Final answer
    x = 9,696.34

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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.