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Finding the Fourth Proportional to 15,456, 23,153.28 and 7,640.96

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Solution

The fourth proportional to 15,456, 23,153.28 and 7,640.96 is: 11,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,456 : 23,153.28 = 7,640.96 : x
  2. Step 2: Convert to fraction form
    15,456/23,153.28 = 7,640.96/x
  3. Step 3: Cross multiply
    15,456x = 23,153.28 × 7,640.96
  4. Step 4: Simplify right side
    15,456x = 176,913,286.35
  5. Step 5: Solve for x
    x = 176,913,286.35/15,456
  6. Step 6: Final answer
    x = 11,446.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.