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Finding the Fourth Proportional to 13,810.91, 20,717.06 and 3,951.65

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Solution

The fourth proportional to 13,810.91, 20,717.06 and 3,951.65 is: 5,927.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.91 : 20,717.06 = 3,951.65 : x
  2. Step 2: Convert to fraction form
    13,810.91/20,717.06 = 3,951.65/x
  3. Step 3: Cross multiply
    13,810.91x = 20,717.06 × 3,951.65
  4. Step 4: Simplify right side
    13,810.91x = 81,866,602.18
  5. Step 5: Solve for x
    x = 81,866,602.18/13,810.91
  6. Step 6: Final answer
    x = 5,927.68

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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.