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Finding the Fourth Proportional to 6,984.91, 9,641.22 and 4,154.27

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Solution

The fourth proportional to 6,984.91, 9,641.22 and 4,154.27 is: 5,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.91 : 9,641.22 = 4,154.27 : x
  2. Step 2: Convert to fraction form
    6,984.91/9,641.22 = 4,154.27/x
  3. Step 3: Cross multiply
    6,984.91x = 9,641.22 × 4,154.27
  4. Step 4: Simplify right side
    6,984.91x = 40,052,231.01
  5. Step 5: Solve for x
    x = 40,052,231.01/6,984.91
  6. Step 6: Final answer
    x = 5,734.11

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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.