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Finding the Fourth Proportional to 38,564, 53,218.32 and 20,900

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Solution

The fourth proportional to 38,564, 53,218.32 and 20,900 is: 28,842

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,564 : 53,218.32 = 20,900 : x
  2. Step 2: Convert to fraction form
    38,564/53,218.32 = 20,900/x
  3. Step 3: Cross multiply
    38,564x = 53,218.32 × 20,900
  4. Step 4: Simplify right side
    38,564x = 1,112,262,888
  5. Step 5: Solve for x
    x = 1,112,262,888/38,564
  6. Step 6: Final answer
    x = 28,842

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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.