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Finding the Fourth Proportional to 20,963.76, 31,449.76 and 6,923.22

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Solution

The fourth proportional to 20,963.76, 31,449.76 and 6,923.22 is: 10,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,963.76 : 31,449.76 = 6,923.22 : x
  2. Step 2: Convert to fraction form
    20,963.76/31,449.76 = 6,923.22/x
  3. Step 3: Cross multiply
    20,963.76x = 31,449.76 × 6,923.22
  4. Step 4: Simplify right side
    20,963.76x = 217,733,607.43
  5. Step 5: Solve for x
    x = 217,733,607.43/20,963.76
  6. Step 6: Final answer
    x = 10,386.19

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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.