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Finding the Fourth Proportional to 31,054, 42,854.34 and 17,627.80

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Solution

The fourth proportional to 31,054, 42,854.34 and 17,627.80 is: 24,326.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054 : 42,854.34 = 17,627.80 : x
  2. Step 2: Convert to fraction form
    31,054/42,854.34 = 17,627.80/x
  3. Step 3: Cross multiply
    31,054x = 42,854.34 × 17,627.80
  4. Step 4: Simplify right side
    31,054x = 755,427,734.65
  5. Step 5: Solve for x
    x = 755,427,734.65/31,054
  6. Step 6: Final answer
    x = 24,326.26

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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.