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Finding the Fourth Proportional to 8,405.96, 11,600.61 and 4,629.20

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Solution

The fourth proportional to 8,405.96, 11,600.61 and 4,629.20 is: 6,388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.96 : 11,600.61 = 4,629.20 : x
  2. Step 2: Convert to fraction form
    8,405.96/11,600.61 = 4,629.20/x
  3. Step 3: Cross multiply
    8,405.96x = 11,600.61 × 4,629.20
  4. Step 4: Simplify right side
    8,405.96x = 53,701,543.81
  5. Step 5: Solve for x
    x = 53,701,543.81/8,405.96
  6. Step 6: Final answer
    x = 6,388.51

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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.