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Finding the Fourth Proportional to 7,909.65, 11,866.53 and 4,208.84

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Solution

The fourth proportional to 7,909.65, 11,866.53 and 4,208.84 is: 6,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.65 : 11,866.53 = 4,208.84 : x
  2. Step 2: Convert to fraction form
    7,909.65/11,866.53 = 4,208.84/x
  3. Step 3: Cross multiply
    7,909.65x = 11,866.53 × 4,208.84
  4. Step 4: Simplify right side
    7,909.65x = 49,944,258.19
  5. Step 5: Solve for x
    x = 49,944,258.19/7,909.65
  6. Step 6: Final answer
    x = 6,314.34

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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.