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Finding the Fourth Proportional to 22,425, 30,946.50 and 12,999.03

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Solution

The fourth proportional to 22,425, 30,946.50 and 12,999.03 is: 17,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,425 : 30,946.50 = 12,999.03 : x
  2. Step 2: Convert to fraction form
    22,425/30,946.50 = 12,999.03/x
  3. Step 3: Cross multiply
    22,425x = 30,946.50 × 12,999.03
  4. Step 4: Simplify right side
    22,425x = 402,274,481.90
  5. Step 5: Solve for x
    x = 402,274,481.90/22,425
  6. Step 6: Final answer
    x = 17,938.66

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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.