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Finding the Fourth Proportional to 21,709.65, 29,955.90 and 12,764.82

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Solution

The fourth proportional to 21,709.65, 29,955.90 and 12,764.82 is: 17,613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,709.65 : 29,955.90 = 12,764.82 : x
  2. Step 2: Convert to fraction form
    21,709.65/29,955.90 = 12,764.82/x
  3. Step 3: Cross multiply
    21,709.65x = 29,955.90 × 12,764.82
  4. Step 4: Simplify right side
    21,709.65x = 382,381,671.44
  5. Step 5: Solve for x
    x = 382,381,671.44/21,709.65
  6. Step 6: Final answer
    x = 17,613.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.