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Finding the Fourth Proportional to 7,842.88, 11,767.88 and 3,898.08

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Solution

The fourth proportional to 7,842.88, 11,767.88 and 3,898.08 is: 5,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.88 : 11,767.88 = 3,898.08 : x
  2. Step 2: Convert to fraction form
    7,842.88/11,767.88 = 3,898.08/x
  3. Step 3: Cross multiply
    7,842.88x = 11,767.88 × 3,898.08
  4. Step 4: Simplify right side
    7,842.88x = 45,872,137.67
  5. Step 5: Solve for x
    x = 45,872,137.67/7,842.88
  6. Step 6: Final answer
    x = 5,848.89

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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.