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Finding the Fourth Proportional to 16,705.50, 25,058.55 and 7,815.90

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Solution

The fourth proportional to 16,705.50, 25,058.55 and 7,815.90 is: 11,723.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.50 : 25,058.55 = 7,815.90 : x
  2. Step 2: Convert to fraction form
    16,705.50/25,058.55 = 7,815.90/x
  3. Step 3: Cross multiply
    16,705.50x = 25,058.55 × 7,815.90
  4. Step 4: Simplify right side
    16,705.50x = 195,855,120.95
  5. Step 5: Solve for x
    x = 195,855,120.95/16,705.50
  6. Step 6: Final answer
    x = 11,723.99

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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.