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Finding the Fourth Proportional to 17,112, 23,597.28 and 15,435.84

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Solution

The fourth proportional to 17,112, 23,597.28 and 15,435.84 is: 21,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,112 : 23,597.28 = 15,435.84 : x
  2. Step 2: Convert to fraction form
    17,112/23,597.28 = 15,435.84/x
  3. Step 3: Cross multiply
    17,112x = 23,597.28 × 15,435.84
  4. Step 4: Simplify right side
    17,112x = 364,243,838.52
  5. Step 5: Solve for x
    x = 364,243,838.52/17,112
  6. Step 6: Final answer
    x = 21,285.87

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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.