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Finding the Fourth Proportional to 7,794.60, 11,675.42 and 6,143.40

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Solution

The fourth proportional to 7,794.60, 11,675.42 and 6,143.40 is: 9,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.60 : 11,675.42 = 6,143.40 : x
  2. Step 2: Convert to fraction form
    7,794.60/11,675.42 = 6,143.40/x
  3. Step 3: Cross multiply
    7,794.60x = 11,675.42 × 6,143.40
  4. Step 4: Simplify right side
    7,794.60x = 71,726,775.23
  5. Step 5: Solve for x
    x = 71,726,775.23/7,794.60
  6. Step 6: Final answer
    x = 9,202.11

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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.