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Finding the Fourth Proportional to 3,464.50, 4,781.10 and 1,892.74

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Solution

The fourth proportional to 3,464.50, 4,781.10 and 1,892.74 is: 2,612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.50 : 4,781.10 = 1,892.74 : x
  2. Step 2: Convert to fraction form
    3,464.50/4,781.10 = 1,892.74/x
  3. Step 3: Cross multiply
    3,464.50x = 4,781.10 × 1,892.74
  4. Step 4: Simplify right side
    3,464.50x = 9,049,379.21
  5. Step 5: Solve for x
    x = 9,049,379.21/3,464.50
  6. Step 6: Final answer
    x = 2,612.03

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1.5x scale

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.