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Finding the Fourth Proportional to 15,456, 21,329.40 and 9,173.76

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Solution

The fourth proportional to 15,456, 21,329.40 and 9,173.76 is: 12,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,456 : 21,329.40 = 9,173.76 : x
  2. Step 2: Convert to fraction form
    15,456/21,329.40 = 9,173.76/x
  3. Step 3: Cross multiply
    15,456x = 21,329.40 × 9,173.76
  4. Step 4: Simplify right side
    15,456x = 195,670,796.54
  5. Step 5: Solve for x
    x = 195,670,796.54/15,456
  6. Step 6: Final answer
    x = 12,659.86

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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.