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Finding the Fourth Proportional to 20,810, 28,717.68 and 11,378.60

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Solution

The fourth proportional to 20,810, 28,717.68 and 11,378.60 is: 15,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810 : 28,717.68 = 11,378.60 : x
  2. Step 2: Convert to fraction form
    20,810/28,717.68 = 11,378.60/x
  3. Step 3: Cross multiply
    20,810x = 28,717.68 × 11,378.60
  4. Step 4: Simplify right side
    20,810x = 326,766,993.65
  5. Step 5: Solve for x
    x = 326,766,993.65/20,810
  6. Step 6: Final answer
    x = 15,702.40

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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.