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Finding the Fourth Proportional to 16,992, 25,498.08 and 7,758.72

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Solution

The fourth proportional to 16,992, 25,498.08 and 7,758.72 is: 11,642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,992 : 25,498.08 = 7,758.72 : x
  2. Step 2: Convert to fraction form
    16,992/25,498.08 = 7,758.72/x
  3. Step 3: Cross multiply
    16,992x = 25,498.08 × 7,758.72
  4. Step 4: Simplify right side
    16,992x = 197,832,463.26
  5. Step 5: Solve for x
    x = 197,832,463.26/16,992
  6. Step 6: Final answer
    x = 11,642.68

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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.