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Finding the Fourth Proportional to 22,840.37, 31,519.95 and 12,769.37

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Solution

The fourth proportional to 22,840.37, 31,519.95 and 12,769.37 is: 17,621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,840.37 : 31,519.95 = 12,769.37 : x
  2. Step 2: Convert to fraction form
    22,840.37/31,519.95 = 12,769.37/x
  3. Step 3: Cross multiply
    22,840.37x = 31,519.95 × 12,769.37
  4. Step 4: Simplify right side
    22,840.37x = 402,489,840.08
  5. Step 5: Solve for x
    x = 402,489,840.08/22,840.37
  6. Step 6: Final answer
    x = 17,621.86

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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.