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Finding the Fourth Proportional to 31,503.98, 47,272.44 and 20,407.79

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Solution

The fourth proportional to 31,503.98, 47,272.44 and 20,407.79 is: 30,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,503.98 : 47,272.44 = 20,407.79 : x
  2. Step 2: Convert to fraction form
    31,503.98/47,272.44 = 20,407.79/x
  3. Step 3: Cross multiply
    31,503.98x = 47,272.44 × 20,407.79
  4. Step 4: Simplify right side
    31,503.98x = 964,726,028.31
  5. Step 5: Solve for x
    x = 964,726,028.31/31,503.98
  6. Step 6: Final answer
    x = 30,622.35

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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.