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Finding the Fourth Proportional to 7,189.96, 9,922.08 and 4,046.20

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Solution

The fourth proportional to 7,189.96, 9,922.08 and 4,046.20 is: 5,583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.96 : 9,922.08 = 4,046.20 : x
  2. Step 2: Convert to fraction form
    7,189.96/9,922.08 = 4,046.20/x
  3. Step 3: Cross multiply
    7,189.96x = 9,922.08 × 4,046.20
  4. Step 4: Simplify right side
    7,189.96x = 40,146,720.10
  5. Step 5: Solve for x
    x = 40,146,720.10/7,189.96
  6. Step 6: Final answer
    x = 5,583.72

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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.