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Finding the Fourth Proportional to 38,640, 53,323.20 and 20,976

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Solution

The fourth proportional to 38,640, 53,323.20 and 20,976 is: 28,946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,640 : 53,323.20 = 20,976 : x
  2. Step 2: Convert to fraction form
    38,640/53,323.20 = 20,976/x
  3. Step 3: Cross multiply
    38,640x = 53,323.20 × 20,976
  4. Step 4: Simplify right side
    38,640x = 1,118,507,443.20
  5. Step 5: Solve for x
    x = 1,118,507,443.20/38,640
  6. Step 6: Final answer
    x = 28,946.88

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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.