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Finding the Fourth Proportional to 6,459.60, 8,913.17 and 3,806.65

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Solution

The fourth proportional to 6,459.60, 8,913.17 and 3,806.65 is: 5,252.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.60 : 8,913.17 = 3,806.65 : x
  2. Step 2: Convert to fraction form
    6,459.60/8,913.17 = 3,806.65/x
  3. Step 3: Cross multiply
    6,459.60x = 8,913.17 × 3,806.65
  4. Step 4: Simplify right side
    6,459.60x = 33,929,289.10
  5. Step 5: Solve for x
    x = 33,929,289.10/6,459.60
  6. Step 6: Final answer
    x = 5,252.54

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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.