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Finding the Fourth Proportional to 10,023.84, 13,843.36 and 7,812

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Solution

The fourth proportional to 10,023.84, 13,843.36 and 7,812 is: 10,788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.84 : 13,843.36 = 7,812 : x
  2. Step 2: Convert to fraction form
    10,023.84/13,843.36 = 7,812/x
  3. Step 3: Cross multiply
    10,023.84x = 13,843.36 × 7,812
  4. Step 4: Simplify right side
    10,023.84x = 108,144,328.32
  5. Step 5: Solve for x
    x = 108,144,328.32/10,023.84
  6. Step 6: Final answer
    x = 10,788.71

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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.