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Finding the Fourth Proportional to 21,294.42, 31,945.48 and 8,807.66

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Solution

The fourth proportional to 21,294.42, 31,945.48 and 8,807.66 is: 13,213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,294.42 : 31,945.48 = 8,807.66 : x
  2. Step 2: Convert to fraction form
    21,294.42/31,945.48 = 8,807.66/x
  3. Step 3: Cross multiply
    21,294.42x = 31,945.48 × 8,807.66
  4. Step 4: Simplify right side
    21,294.42x = 281,364,984.22
  5. Step 5: Solve for x
    x = 281,364,984.22/21,294.42
  6. Step 6: Final answer
    x = 13,213.09

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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.