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Finding the Fourth Proportional to 7,707.28, 11,505.11 and 6,773.08

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Solution

The fourth proportional to 7,707.28, 11,505.11 and 6,773.08 is: 10,110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.28 : 11,505.11 = 6,773.08 : x
  2. Step 2: Convert to fraction form
    7,707.28/11,505.11 = 6,773.08/x
  3. Step 3: Cross multiply
    7,707.28x = 11,505.11 × 6,773.08
  4. Step 4: Simplify right side
    7,707.28x = 77,925,030.44
  5. Step 5: Solve for x
    x = 77,925,030.44/7,707.28
  6. Step 6: Final answer
    x = 10,110.57

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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.