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Finding the Fourth Proportional to 28,802.96, 43,212 and 9,082.16

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Solution

The fourth proportional to 28,802.96, 43,212 and 9,082.16 is: 13,625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,802.96 : 43,212 = 9,082.16 : x
  2. Step 2: Convert to fraction form
    28,802.96/43,212 = 9,082.16/x
  3. Step 3: Cross multiply
    28,802.96x = 43,212 × 9,082.16
  4. Step 4: Simplify right side
    28,802.96x = 392,458,297.92
  5. Step 5: Solve for x
    x = 392,458,297.92/28,802.96
  6. Step 6: Final answer
    x = 13,625.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.