Home / 20,989.60-31,462.20-6,946

Finding the Fourth Proportional to 20,989.60, 31,462.20 and 6,946

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Solution

The fourth proportional to 20,989.60, 31,462.20 and 6,946 is: 10,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,989.60 : 31,462.20 = 6,946 : x
  2. Step 2: Convert to fraction form
    20,989.60/31,462.20 = 6,946/x
  3. Step 3: Cross multiply
    20,989.60x = 31,462.20 × 6,946
  4. Step 4: Simplify right side
    20,989.60x = 218,536,441.20
  5. Step 5: Solve for x
    x = 218,536,441.20/20,989.60
  6. Step 6: Final answer
    x = 10,411.65

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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.