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Finding the Fourth Proportional to 21,064.42, 31,569.22 and 8,569.88

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Solution

The fourth proportional to 21,064.42, 31,569.22 and 8,569.88 is: 12,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,064.42 : 31,569.22 = 8,569.88 : x
  2. Step 2: Convert to fraction form
    21,064.42/31,569.22 = 8,569.88/x
  3. Step 3: Cross multiply
    21,064.42x = 31,569.22 × 8,569.88
  4. Step 4: Simplify right side
    21,064.42x = 270,544,427.09
  5. Step 5: Solve for x
    x = 270,544,427.09/21,064.42
  6. Step 6: Final answer
    x = 12,843.67

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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.