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Finding the Fourth Proportional to 7,121.56, 9,832.37 and 6,374.22

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Solution

The fourth proportional to 7,121.56, 9,832.37 and 6,374.22 is: 8,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.56 : 9,832.37 = 6,374.22 : x
  2. Step 2: Convert to fraction form
    7,121.56/9,832.37 = 6,374.22/x
  3. Step 3: Cross multiply
    7,121.56x = 9,832.37 × 6,374.22
  4. Step 4: Simplify right side
    7,121.56x = 62,673,689.50
  5. Step 5: Solve for x
    x = 62,673,689.50/7,121.56
  6. Step 6: Final answer
    x = 8,800.56

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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.