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Finding the Fourth Proportional to 8,406.42, 11,600.85 and 4,629.55

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Solution

The fourth proportional to 8,406.42, 11,600.85 and 4,629.55 is: 6,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.42 : 11,600.85 = 4,629.55 : x
  2. Step 2: Convert to fraction form
    8,406.42/11,600.85 = 4,629.55/x
  3. Step 3: Cross multiply
    8,406.42x = 11,600.85 × 4,629.55
  4. Step 4: Simplify right side
    8,406.42x = 53,706,717.07
  5. Step 5: Solve for x
    x = 53,706,717.07/8,406.42
  6. Step 6: Final answer
    x = 6,388.78

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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.