Home / 31,720.20-47,583.54-10,941

Finding the Fourth Proportional to 31,720.20, 47,583.54 and 10,941

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Solution

The fourth proportional to 31,720.20, 47,583.54 and 10,941 is: 16,412.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,720.20 : 47,583.54 = 10,941 : x
  2. Step 2: Convert to fraction form
    31,720.20/47,583.54 = 10,941/x
  3. Step 3: Cross multiply
    31,720.20x = 47,583.54 × 10,941
  4. Step 4: Simplify right side
    31,720.20x = 520,611,511.14
  5. Step 5: Solve for x
    x = 520,611,511.14/31,720.20
  6. Step 6: Final answer
    x = 16,412.62

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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.