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Finding the Fourth Proportional to 20,956.65, 31,436.46 and 7,809

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Solution

The fourth proportional to 20,956.65, 31,436.46 and 7,809 is: 11,714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,956.65 : 31,436.46 = 7,809 : x
  2. Step 2: Convert to fraction form
    20,956.65/31,436.46 = 7,809/x
  3. Step 3: Cross multiply
    20,956.65x = 31,436.46 × 7,809
  4. Step 4: Simplify right side
    20,956.65x = 245,487,316.14
  5. Step 5: Solve for x
    x = 245,487,316.14/20,956.65
  6. Step 6: Final answer
    x = 11,714.05

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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.