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Finding the Fourth Proportional to 22,841.60, 31,520.80 and 12,905.60

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Solution

The fourth proportional to 22,841.60, 31,520.80 and 12,905.60 is: 17,809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,841.60 : 31,520.80 = 12,905.60 : x
  2. Step 2: Convert to fraction form
    22,841.60/31,520.80 = 12,905.60/x
  3. Step 3: Cross multiply
    22,841.60x = 31,520.80 × 12,905.60
  4. Step 4: Simplify right side
    22,841.60x = 406,794,836.48
  5. Step 5: Solve for x
    x = 406,794,836.48/22,841.60
  6. Step 6: Final answer
    x = 17,809.38

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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.