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Finding the Fourth Proportional to 7,720.80, 10,649.28 and 7,463.82

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Solution

The fourth proportional to 7,720.80, 10,649.28 and 7,463.82 is: 10,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.80 : 10,649.28 = 7,463.82 : x
  2. Step 2: Convert to fraction form
    7,720.80/10,649.28 = 7,463.82/x
  3. Step 3: Cross multiply
    7,720.80x = 10,649.28 × 7,463.82
  4. Step 4: Simplify right side
    7,720.80x = 79,484,309.05
  5. Step 5: Solve for x
    x = 79,484,309.05/7,720.80
  6. Step 6: Final answer
    x = 10,294.83

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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.