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Finding the Fourth Proportional to 38,664, 53,356.32 and 21,000

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Solution

The fourth proportional to 38,664, 53,356.32 and 21,000 is: 28,980

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,664 : 53,356.32 = 21,000 : x
  2. Step 2: Convert to fraction form
    38,664/53,356.32 = 21,000/x
  3. Step 3: Cross multiply
    38,664x = 53,356.32 × 21,000
  4. Step 4: Simplify right side
    38,664x = 1,120,482,720
  5. Step 5: Solve for x
    x = 1,120,482,720/38,664
  6. Step 6: Final answer
    x = 28,980

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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.