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Finding the Fourth Proportional to 21,276, 31,914 and 5,693.22

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Solution

The fourth proportional to 21,276, 31,914 and 5,693.22 is: 8,539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,276 : 31,914 = 5,693.22 : x
  2. Step 2: Convert to fraction form
    21,276/31,914 = 5,693.22/x
  3. Step 3: Cross multiply
    21,276x = 31,914 × 5,693.22
  4. Step 4: Simplify right side
    21,276x = 181,693,423.08
  5. Step 5: Solve for x
    x = 181,693,423.08/21,276
  6. Step 6: Final answer
    x = 8,539.83

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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.