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Finding the Fourth Proportional to 19,965.29, 29,924.01 and 8,859.46

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Solution

The fourth proportional to 19,965.29, 29,924.01 and 8,859.46 is: 13,278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,965.29 : 29,924.01 = 8,859.46 : x
  2. Step 2: Convert to fraction form
    19,965.29/29,924.01 = 8,859.46/x
  3. Step 3: Cross multiply
    19,965.29x = 29,924.01 × 8,859.46
  4. Step 4: Simplify right side
    19,965.29x = 265,110,420.01
  5. Step 5: Solve for x
    x = 265,110,420.01/19,965.29
  6. Step 6: Final answer
    x = 13,278.57

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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.