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Finding the Fourth Proportional to 22,617.84, 31,212 and 12,546.24

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Solution

The fourth proportional to 22,617.84, 31,212 and 12,546.24 is: 17,313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617.84 : 31,212 = 12,546.24 : x
  2. Step 2: Convert to fraction form
    22,617.84/31,212 = 12,546.24/x
  3. Step 3: Cross multiply
    22,617.84x = 31,212 × 12,546.24
  4. Step 4: Simplify right side
    22,617.84x = 391,593,242.88
  5. Step 5: Solve for x
    x = 391,593,242.88/22,617.84
  6. Step 6: Final answer
    x = 17,313.47

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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.