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Finding the Fourth Proportional to 9,859.94, 14,788.90 and 3,285.42

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Solution

The fourth proportional to 9,859.94, 14,788.90 and 3,285.42 is: 4,927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.94 : 14,788.90 = 3,285.42 : x
  2. Step 2: Convert to fraction form
    9,859.94/14,788.90 = 3,285.42/x
  3. Step 3: Cross multiply
    9,859.94x = 14,788.90 × 3,285.42
  4. Step 4: Simplify right side
    9,859.94x = 48,587,747.84
  5. Step 5: Solve for x
    x = 48,587,747.84/9,859.94
  6. Step 6: Final answer
    x = 4,927.79

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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.