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Finding the Fourth Proportional to 8,468.30, 11,686.25 and 4,742.30

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Solution

The fourth proportional to 8,468.30, 11,686.25 and 4,742.30 is: 6,544.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.30 : 11,686.25 = 4,742.30 : x
  2. Step 2: Convert to fraction form
    8,468.30/11,686.25 = 4,742.30/x
  3. Step 3: Cross multiply
    8,468.30x = 11,686.25 × 4,742.30
  4. Step 4: Simplify right side
    8,468.30x = 55,419,665.37
  5. Step 5: Solve for x
    x = 55,419,665.37/8,468.30
  6. Step 6: Final answer
    x = 6,544.37

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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.