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Finding the Fourth Proportional to 20,798.78, 28,702.86 and 11,367.92

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Solution

The fourth proportional to 20,798.78, 28,702.86 and 11,367.92 is: 15,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,798.78 : 28,702.86 = 11,367.92 : x
  2. Step 2: Convert to fraction form
    20,798.78/28,702.86 = 11,367.92/x
  3. Step 3: Cross multiply
    20,798.78x = 28,702.86 × 11,367.92
  4. Step 4: Simplify right side
    20,798.78x = 326,291,816.25
  5. Step 5: Solve for x
    x = 326,291,816.25/20,798.78
  6. Step 6: Final answer
    x = 15,688.03

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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.