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Finding the Fourth Proportional to 15,694, 21,657.72 and 8,620.54

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Solution

The fourth proportional to 15,694, 21,657.72 and 8,620.54 is: 11,896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694 : 21,657.72 = 8,620.54 : x
  2. Step 2: Convert to fraction form
    15,694/21,657.72 = 8,620.54/x
  3. Step 3: Cross multiply
    15,694x = 21,657.72 × 8,620.54
  4. Step 4: Simplify right side
    15,694x = 186,701,241.57
  5. Step 5: Solve for x
    x = 186,701,241.57/15,694
  6. Step 6: Final answer
    x = 11,896.35

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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.