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Finding the Fourth Proportional to 7,811.22, 11,656.82 and 6,980.78

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Solution

The fourth proportional to 7,811.22, 11,656.82 and 6,980.78 is: 10,417.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.22 : 11,656.82 = 6,980.78 : x
  2. Step 2: Convert to fraction form
    7,811.22/11,656.82 = 6,980.78/x
  3. Step 3: Cross multiply
    7,811.22x = 11,656.82 × 6,980.78
  4. Step 4: Simplify right side
    7,811.22x = 81,373,695.92
  5. Step 5: Solve for x
    x = 81,373,695.92/7,811.22
  6. Step 6: Final answer
    x = 10,417.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.