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Finding the Fourth Proportional to 20,980.53, 31,464 and 6,937.29

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Solution

The fourth proportional to 20,980.53, 31,464 and 6,937.29 is: 10,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.53 : 31,464 = 6,937.29 : x
  2. Step 2: Convert to fraction form
    20,980.53/31,464 = 6,937.29/x
  3. Step 3: Cross multiply
    20,980.53x = 31,464 × 6,937.29
  4. Step 4: Simplify right side
    20,980.53x = 218,274,892.56
  5. Step 5: Solve for x
    x = 218,274,892.56/20,980.53
  6. Step 6: Final answer
    x = 10,403.69

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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.