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Finding the Fourth Proportional to 22,328.64, 30,812.96 and 12,392

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Solution

The fourth proportional to 22,328.64, 30,812.96 and 12,392 is: 17,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,328.64 : 30,812.96 = 12,392 : x
  2. Step 2: Convert to fraction form
    22,328.64/30,812.96 = 12,392/x
  3. Step 3: Cross multiply
    22,328.64x = 30,812.96 × 12,392
  4. Step 4: Simplify right side
    22,328.64x = 381,834,200.32
  5. Step 5: Solve for x
    x = 381,834,200.32/22,328.64
  6. Step 6: Final answer
    x = 17,100.65

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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.