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Finding the Fourth Proportional to 7,722.91, 10,649.80 and 6,869.47

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Solution

The fourth proportional to 7,722.91, 10,649.80 and 6,869.47 is: 9,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.91 : 10,649.80 = 6,869.47 : x
  2. Step 2: Convert to fraction form
    7,722.91/10,649.80 = 6,869.47/x
  3. Step 3: Cross multiply
    7,722.91x = 10,649.80 × 6,869.47
  4. Step 4: Simplify right side
    7,722.91x = 73,158,481.61
  5. Step 5: Solve for x
    x = 73,158,481.61/7,722.91
  6. Step 6: Final answer
    x = 9,472.92

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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.