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Finding the Fourth Proportional to 3,464.76, 5,198.06 and 999.78

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Solution

The fourth proportional to 3,464.76, 5,198.06 and 999.78 is: 1,499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.76 : 5,198.06 = 999.78 : x
  2. Step 2: Convert to fraction form
    3,464.76/5,198.06 = 999.78/x
  3. Step 3: Cross multiply
    3,464.76x = 5,198.06 × 999.78
  4. Step 4: Simplify right side
    3,464.76x = 5,196,916.43
  5. Step 5: Solve for x
    x = 5,196,916.43/3,464.76
  6. Step 6: Final answer
    x = 1,499.94

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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.