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Finding the Fourth Proportional to 20,640, 28,483.20 and 11,208.64

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Solution

The fourth proportional to 20,640, 28,483.20 and 11,208.64 is: 15,467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,640 : 28,483.20 = 11,208.64 : x
  2. Step 2: Convert to fraction form
    20,640/28,483.20 = 11,208.64/x
  3. Step 3: Cross multiply
    20,640x = 28,483.20 × 11,208.64
  4. Step 4: Simplify right side
    20,640x = 319,257,934.85
  5. Step 5: Solve for x
    x = 319,257,934.85/20,640
  6. Step 6: Final answer
    x = 15,467.92

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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.