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Finding the Fourth Proportional to 7,913.54, 11,859.83 and 4,207.79

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Solution

The fourth proportional to 7,913.54, 11,859.83 and 4,207.79 is: 6,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.54 : 11,859.83 = 4,207.79 : x
  2. Step 2: Convert to fraction form
    7,913.54/11,859.83 = 4,207.79/x
  3. Step 3: Cross multiply
    7,913.54x = 11,859.83 × 4,207.79
  4. Step 4: Simplify right side
    7,913.54x = 49,903,593.74
  5. Step 5: Solve for x
    x = 49,903,593.74/7,913.54
  6. Step 6: Final answer
    x = 6,306.11

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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.