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Finding the Fourth Proportional to 7,811.46, 11,710.44 and 3,649.41

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Solution

The fourth proportional to 7,811.46, 11,710.44 and 3,649.41 is: 5,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.46 : 11,710.44 = 3,649.41 : x
  2. Step 2: Convert to fraction form
    7,811.46/11,710.44 = 3,649.41/x
  3. Step 3: Cross multiply
    7,811.46x = 11,710.44 × 3,649.41
  4. Step 4: Simplify right side
    7,811.46x = 42,736,196.84
  5. Step 5: Solve for x
    x = 42,736,196.84/7,811.46
  6. Step 6: Final answer
    x = 5,470.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.