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Finding the Fourth Proportional to 3,929.70, 5,893.32 and 1,464.76

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Solution

The fourth proportional to 3,929.70, 5,893.32 and 1,464.76 is: 2,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.70 : 5,893.32 = 1,464.76 : x
  2. Step 2: Convert to fraction form
    3,929.70/5,893.32 = 1,464.76/x
  3. Step 3: Cross multiply
    3,929.70x = 5,893.32 × 1,464.76
  4. Step 4: Simplify right side
    3,929.70x = 8,632,299.40
  5. Step 5: Solve for x
    x = 8,632,299.40/3,929.70
  6. Step 6: Final answer
    x = 2,196.68

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1.5x scale

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.