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Finding the Fourth Proportional to 7,863.81, 11,801.66 and 4,166.88

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Solution

The fourth proportional to 7,863.81, 11,801.66 and 4,166.88 is: 6,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.81 : 11,801.66 = 4,166.88 : x
  2. Step 2: Convert to fraction form
    7,863.81/11,801.66 = 4,166.88/x
  3. Step 3: Cross multiply
    7,863.81x = 11,801.66 × 4,166.88
  4. Step 4: Simplify right side
    7,863.81x = 49,176,080.19
  5. Step 5: Solve for x
    x = 49,176,080.19/7,863.81
  6. Step 6: Final answer
    x = 6,253.47

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1.5x scale

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.