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Finding the Fourth Proportional to 17,398, 26,096.64 and 4,917.88

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Solution

The fourth proportional to 17,398, 26,096.64 and 4,917.88 is: 7,376.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,398 : 26,096.64 = 4,917.88 : x
  2. Step 2: Convert to fraction form
    17,398/26,096.64 = 4,917.88/x
  3. Step 3: Cross multiply
    17,398x = 26,096.64 × 4,917.88
  4. Step 4: Simplify right side
    17,398x = 128,340,143.92
  5. Step 5: Solve for x
    x = 128,340,143.92/17,398
  6. Step 6: Final answer
    x = 7,376.72

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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.