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Finding the Fourth Proportional to 31,957.70, 44,101 and 18,530.20

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Solution

The fourth proportional to 31,957.70, 44,101 and 18,530.20 is: 25,571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,957.70 : 44,101 = 18,530.20 : x
  2. Step 2: Convert to fraction form
    31,957.70/44,101 = 18,530.20/x
  3. Step 3: Cross multiply
    31,957.70x = 44,101 × 18,530.20
  4. Step 4: Simplify right side
    31,957.70x = 817,200,350.20
  5. Step 5: Solve for x
    x = 817,200,350.20/31,957.70
  6. Step 6: Final answer
    x = 25,571.31

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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.