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Finding the Fourth Proportional to 28,244.25, 38,978.28 and 15,669

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Solution

The fourth proportional to 28,244.25, 38,978.28 and 15,669 is: 21,623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,244.25 : 38,978.28 = 15,669 : x
  2. Step 2: Convert to fraction form
    28,244.25/38,978.28 = 15,669/x
  3. Step 3: Cross multiply
    28,244.25x = 38,978.28 × 15,669
  4. Step 4: Simplify right side
    28,244.25x = 610,750,669.32
  5. Step 5: Solve for x
    x = 610,750,669.32/28,244.25
  6. Step 6: Final answer
    x = 21,623.89

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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.