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Finding the Fourth Proportional to 22,396.48, 30,910.16 and 12,840.16

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Solution

The fourth proportional to 22,396.48, 30,910.16 and 12,840.16 is: 17,721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,396.48 : 30,910.16 = 12,840.16 : x
  2. Step 2: Convert to fraction form
    22,396.48/30,910.16 = 12,840.16/x
  3. Step 3: Cross multiply
    22,396.48x = 30,910.16 × 12,840.16
  4. Step 4: Simplify right side
    22,396.48x = 396,891,400.03
  5. Step 5: Solve for x
    x = 396,891,400.03/22,396.48
  6. Step 6: Final answer
    x = 17,721.15

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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.