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Finding the Fourth Proportional to 31,662.99, 47,510.84 and 13,906.12

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Solution

The fourth proportional to 31,662.99, 47,510.84 and 13,906.12 is: 20,866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,662.99 : 47,510.84 = 13,906.12 : x
  2. Step 2: Convert to fraction form
    31,662.99/47,510.84 = 13,906.12/x
  3. Step 3: Cross multiply
    31,662.99x = 47,510.84 × 13,906.12
  4. Step 4: Simplify right side
    31,662.99x = 660,691,442.34
  5. Step 5: Solve for x
    x = 660,691,442.34/31,662.99
  6. Step 6: Final answer
    x = 20,866.36

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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.