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Finding the Fourth Proportional to 7,219.72, 9,963.64 and 4,033

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Solution

The fourth proportional to 7,219.72, 9,963.64 and 4,033 is: 5,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.72 : 9,963.64 = 4,033 : x
  2. Step 2: Convert to fraction form
    7,219.72/9,963.64 = 4,033/x
  3. Step 3: Cross multiply
    7,219.72x = 9,963.64 × 4,033
  4. Step 4: Simplify right side
    7,219.72x = 40,183,360.12
  5. Step 5: Solve for x
    x = 40,183,360.12/7,219.72
  6. Step 6: Final answer
    x = 5,565.78

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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.