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Finding the Fourth Proportional to 31,472.40, 47,135.70 and 19,662.60

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Solution

The fourth proportional to 31,472.40, 47,135.70 and 19,662.60 is: 29,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472.40 : 47,135.70 = 19,662.60 : x
  2. Step 2: Convert to fraction form
    31,472.40/47,135.70 = 19,662.60/x
  3. Step 3: Cross multiply
    31,472.40x = 47,135.70 × 19,662.60
  4. Step 4: Simplify right side
    31,472.40x = 926,810,414.82
  5. Step 5: Solve for x
    x = 926,810,414.82/31,472.40
  6. Step 6: Final answer
    x = 29,448.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.