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Finding the Fourth Proportional to 17,442.88, 26,161.44 and 5,128

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Solution

The fourth proportional to 17,442.88, 26,161.44 and 5,128 is: 7,691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,442.88 : 26,161.44 = 5,128 : x
  2. Step 2: Convert to fraction form
    17,442.88/26,161.44 = 5,128/x
  3. Step 3: Cross multiply
    17,442.88x = 26,161.44 × 5,128
  4. Step 4: Simplify right side
    17,442.88x = 134,155,864.32
  5. Step 5: Solve for x
    x = 134,155,864.32/17,442.88
  6. Step 6: Final answer
    x = 7,691.15

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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.