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Finding the Fourth Proportional to 31,850, 43,953.06 and 17,706.20

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Solution

The fourth proportional to 31,850, 43,953.06 and 17,706.20 is: 24,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,850 : 43,953.06 = 17,706.20 : x
  2. Step 2: Convert to fraction form
    31,850/43,953.06 = 17,706.20/x
  3. Step 3: Cross multiply
    31,850x = 43,953.06 × 17,706.20
  4. Step 4: Simplify right side
    31,850x = 778,241,670.97
  5. Step 5: Solve for x
    x = 778,241,670.97/31,850
  6. Step 6: Final answer
    x = 24,434.59

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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.