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Finding the Fourth Proportional to 21,259.90, 31,892.64 and 7,023.65

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Solution

The fourth proportional to 21,259.90, 31,892.64 and 7,023.65 is: 10,536.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,259.90 : 31,892.64 = 7,023.65 : x
  2. Step 2: Convert to fraction form
    21,259.90/31,892.64 = 7,023.65/x
  3. Step 3: Cross multiply
    21,259.90x = 31,892.64 × 7,023.65
  4. Step 4: Simplify right side
    21,259.90x = 224,002,555.13
  5. Step 5: Solve for x
    x = 224,002,555.13/21,259.90
  6. Step 6: Final answer
    x = 10,536.39

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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.