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Finding the Fourth Proportional to 31,260, 43,138.74 and 17,112.96

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Solution

The fourth proportional to 31,260, 43,138.74 and 17,112.96 is: 23,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,260 : 43,138.74 = 17,112.96 : x
  2. Step 2: Convert to fraction form
    31,260/43,138.74 = 17,112.96/x
  3. Step 3: Cross multiply
    31,260x = 43,138.74 × 17,112.96
  4. Step 4: Simplify right side
    31,260x = 738,231,532.07
  5. Step 5: Solve for x
    x = 738,231,532.07/31,260
  6. Step 6: Final answer
    x = 23,615.85

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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.