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Finding the Fourth Proportional to 7,808.27, 10,772.39 and 4,975.14

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Solution

The fourth proportional to 7,808.27, 10,772.39 and 4,975.14 is: 6,863.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.27 : 10,772.39 = 4,975.14 : x
  2. Step 2: Convert to fraction form
    7,808.27/10,772.39 = 4,975.14/x
  3. Step 3: Cross multiply
    7,808.27x = 10,772.39 × 4,975.14
  4. Step 4: Simplify right side
    7,808.27x = 53,594,069.65
  5. Step 5: Solve for x
    x = 53,594,069.65/7,808.27
  6. Step 6: Final answer
    x = 6,863.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.