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Finding the Fourth Proportional to 7,811.69, 10,780.17 and 4,226.65

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Solution

The fourth proportional to 7,811.69, 10,780.17 and 4,226.65 is: 5,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.69 : 10,780.17 = 4,226.65 : x
  2. Step 2: Convert to fraction form
    7,811.69/10,780.17 = 4,226.65/x
  3. Step 3: Cross multiply
    7,811.69x = 10,780.17 × 4,226.65
  4. Step 4: Simplify right side
    7,811.69x = 45,564,005.53
  5. Step 5: Solve for x
    x = 45,564,005.53/7,811.69
  6. Step 6: Final answer
    x = 5,832.80

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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.