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Finding the Fourth Proportional to 7,703.90, 11,500.10 and 6,769.72

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Solution

The fourth proportional to 7,703.90, 11,500.10 and 6,769.72 is: 10,105.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.90 : 11,500.10 = 6,769.72 : x
  2. Step 2: Convert to fraction form
    7,703.90/11,500.10 = 6,769.72/x
  3. Step 3: Cross multiply
    7,703.90x = 11,500.10 × 6,769.72
  4. Step 4: Simplify right side
    7,703.90x = 77,852,456.97
  5. Step 5: Solve for x
    x = 77,852,456.97/7,703.90
  6. Step 6: Final answer
    x = 10,105.59

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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.