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Finding the Fourth Proportional to 22,319, 30,800.22 and 12,384.92

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Solution

The fourth proportional to 22,319, 30,800.22 and 12,384.92 is: 17,091.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,319 : 30,800.22 = 12,384.92 : x
  2. Step 2: Convert to fraction form
    22,319/30,800.22 = 12,384.92/x
  3. Step 3: Cross multiply
    22,319x = 30,800.22 × 12,384.92
  4. Step 4: Simplify right side
    22,319x = 381,458,260.68
  5. Step 5: Solve for x
    x = 381,458,260.68/22,319
  6. Step 6: Final answer
    x = 17,091.19

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1.5x scale

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.