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Finding the Fourth Proportional to 7,221.63, 10,832.42 and 3,927.80

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Solution

The fourth proportional to 7,221.63, 10,832.42 and 3,927.80 is: 5,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.63 : 10,832.42 = 3,927.80 : x
  2. Step 2: Convert to fraction form
    7,221.63/10,832.42 = 3,927.80/x
  3. Step 3: Cross multiply
    7,221.63x = 10,832.42 × 3,927.80
  4. Step 4: Simplify right side
    7,221.63x = 42,547,505.47
  5. Step 5: Solve for x
    x = 42,547,505.47/7,221.63
  6. Step 6: Final answer
    x = 5,891.68

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1.5x scale

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.