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Finding the Fourth Proportional to 31,971.59, 47,950.91 and 10,900.21

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Solution

The fourth proportional to 31,971.59, 47,950.91 and 10,900.21 is: 16,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,971.59 : 47,950.91 = 10,900.21 : x
  2. Step 2: Convert to fraction form
    31,971.59/47,950.91 = 10,900.21/x
  3. Step 3: Cross multiply
    31,971.59x = 47,950.91 × 10,900.21
  4. Step 4: Simplify right side
    31,971.59x = 522,674,694.44
  5. Step 5: Solve for x
    x = 522,674,694.44/31,971.59
  6. Step 6: Final answer
    x = 16,348.10

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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.