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Finding the Fourth Proportional to 16,513, 22,788.26 and 9,889

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Solution

The fourth proportional to 16,513, 22,788.26 and 9,889 is: 13,647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,513 : 22,788.26 = 9,889 : x
  2. Step 2: Convert to fraction form
    16,513/22,788.26 = 9,889/x
  3. Step 3: Cross multiply
    16,513x = 22,788.26 × 9,889
  4. Step 4: Simplify right side
    16,513x = 225,353,103.14
  5. Step 5: Solve for x
    x = 225,353,103.14/16,513
  6. Step 6: Final answer
    x = 13,647.01

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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.