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Finding the Fourth Proportional to 31,787, 43,866.06 and 20,609

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Solution

The fourth proportional to 31,787, 43,866.06 and 20,609 is: 28,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,787 : 43,866.06 = 20,609 : x
  2. Step 2: Convert to fraction form
    31,787/43,866.06 = 20,609/x
  3. Step 3: Cross multiply
    31,787x = 43,866.06 × 20,609
  4. Step 4: Simplify right side
    31,787x = 904,035,630.54
  5. Step 5: Solve for x
    x = 904,035,630.54/31,787
  6. Step 6: Final answer
    x = 28,440.42

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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.