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Finding the Fourth Proportional to 17,138.88, 23,647.84 and 10,428

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Solution

The fourth proportional to 17,138.88, 23,647.84 and 10,428 is: 14,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.88 : 23,647.84 = 10,428 : x
  2. Step 2: Convert to fraction form
    17,138.88/23,647.84 = 10,428/x
  3. Step 3: Cross multiply
    17,138.88x = 23,647.84 × 10,428
  4. Step 4: Simplify right side
    17,138.88x = 246,599,675.52
  5. Step 5: Solve for x
    x = 246,599,675.52/17,138.88
  6. Step 6: Final answer
    x = 14,388.32

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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.