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Finding the Fourth Proportional to 8,298, 11,451.96 and 4,572.72

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Solution

The fourth proportional to 8,298, 11,451.96 and 4,572.72 is: 6,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298 : 11,451.96 = 4,572.72 : x
  2. Step 2: Convert to fraction form
    8,298/11,451.96 = 4,572.72/x
  3. Step 3: Cross multiply
    8,298x = 11,451.96 × 4,572.72
  4. Step 4: Simplify right side
    8,298x = 52,366,606.53
  5. Step 5: Solve for x
    x = 52,366,606.53/8,298
  6. Step 6: Final answer
    x = 6,310.75

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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.