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Finding the Fourth Proportional to 7,757.91, 10,705.95 and 4,221.12

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Solution

The fourth proportional to 7,757.91, 10,705.95 and 4,221.12 is: 5,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.91 : 10,705.95 = 4,221.12 : x
  2. Step 2: Convert to fraction form
    7,757.91/10,705.95 = 4,221.12/x
  3. Step 3: Cross multiply
    7,757.91x = 10,705.95 × 4,221.12
  4. Step 4: Simplify right side
    7,757.91x = 45,191,099.66
  5. Step 5: Solve for x
    x = 45,191,099.66/7,757.91
  6. Step 6: Final answer
    x = 5,825.16

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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.