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Finding the Fourth Proportional to 20,546, 28,351.72 and 11,470.52

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Solution

The fourth proportional to 20,546, 28,351.72 and 11,470.52 is: 15,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546 : 28,351.72 = 11,470.52 : x
  2. Step 2: Convert to fraction form
    20,546/28,351.72 = 11,470.52/x
  3. Step 3: Cross multiply
    20,546x = 28,351.72 × 11,470.52
  4. Step 4: Simplify right side
    20,546x = 325,208,971.29
  5. Step 5: Solve for x
    x = 325,208,971.29/20,546
  6. Step 6: Final answer
    x = 15,828.34

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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.