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Finding the Fourth Proportional to 20,873.17, 31,322.04 and 7,734.70

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Solution

The fourth proportional to 20,873.17, 31,322.04 and 7,734.70 is: 11,606.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.17 : 31,322.04 = 7,734.70 : x
  2. Step 2: Convert to fraction form
    20,873.17/31,322.04 = 7,734.70/x
  3. Step 3: Cross multiply
    20,873.17x = 31,322.04 × 7,734.70
  4. Step 4: Simplify right side
    20,873.17x = 242,266,582.79
  5. Step 5: Solve for x
    x = 242,266,582.79/20,873.17
  6. Step 6: Final answer
    x = 11,606.60

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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.