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Finding the Fourth Proportional to 7,767.72, 10,734.66 and 6,903.72

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Solution

The fourth proportional to 7,767.72, 10,734.66 and 6,903.72 is: 9,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.72 : 10,734.66 = 6,903.72 : x
  2. Step 2: Convert to fraction form
    7,767.72/10,734.66 = 6,903.72/x
  3. Step 3: Cross multiply
    7,767.72x = 10,734.66 × 6,903.72
  4. Step 4: Simplify right side
    7,767.72x = 74,109,086.94
  5. Step 5: Solve for x
    x = 74,109,086.94/7,767.72
  6. Step 6: Final answer
    x = 9,540.65

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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.