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Finding the Fourth Proportional to 7,794.24, 10,747.86 and 5,138.25

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Solution

The fourth proportional to 7,794.24, 10,747.86 and 5,138.25 is: 7,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.24 : 10,747.86 = 5,138.25 : x
  2. Step 2: Convert to fraction form
    7,794.24/10,747.86 = 5,138.25/x
  3. Step 3: Cross multiply
    7,794.24x = 10,747.86 × 5,138.25
  4. Step 4: Simplify right side
    7,794.24x = 55,225,191.65
  5. Step 5: Solve for x
    x = 55,225,191.65/7,794.24
  6. Step 6: Final answer
    x = 7,085.39

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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.