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Finding the Fourth Proportional to 8,329, 12,483.78 and 4,629.46

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Solution

The fourth proportional to 8,329, 12,483.78 and 4,629.46 is: 6,938.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329 : 12,483.78 = 4,629.46 : x
  2. Step 2: Convert to fraction form
    8,329/12,483.78 = 4,629.46/x
  3. Step 3: Cross multiply
    8,329x = 12,483.78 × 4,629.46
  4. Step 4: Simplify right side
    8,329x = 57,793,160.16
  5. Step 5: Solve for x
    x = 57,793,160.16/8,329
  6. Step 6: Final answer
    x = 6,938.79

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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.