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Finding the Fourth Proportional to 20,731.59, 31,054.59 and 10,840.95

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Solution

The fourth proportional to 20,731.59, 31,054.59 and 10,840.95 is: 16,239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731.59 : 31,054.59 = 10,840.95 : x
  2. Step 2: Convert to fraction form
    20,731.59/31,054.59 = 10,840.95/x
  3. Step 3: Cross multiply
    20,731.59x = 31,054.59 × 10,840.95
  4. Step 4: Simplify right side
    20,731.59x = 336,661,257.46
  5. Step 5: Solve for x
    x = 336,661,257.46/20,731.59
  6. Step 6: Final answer
    x = 16,239.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.