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Finding the Fourth Proportional to 21,161.80, 31,744.88 and 7,309

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Solution

The fourth proportional to 21,161.80, 31,744.88 and 7,309 is: 10,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,161.80 : 31,744.88 = 7,309 : x
  2. Step 2: Convert to fraction form
    21,161.80/31,744.88 = 7,309/x
  3. Step 3: Cross multiply
    21,161.80x = 31,744.88 × 7,309
  4. Step 4: Simplify right side
    21,161.80x = 232,023,327.92
  5. Step 5: Solve for x
    x = 232,023,327.92/21,161.80
  6. Step 6: Final answer
    x = 10,964.25

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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.