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Finding the Fourth Proportional to 3,773.70, 5,207.76 and 2,281.35

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Solution

The fourth proportional to 3,773.70, 5,207.76 and 2,281.35 is: 3,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.70 : 5,207.76 = 2,281.35 : x
  2. Step 2: Convert to fraction form
    3,773.70/5,207.76 = 2,281.35/x
  3. Step 3: Cross multiply
    3,773.70x = 5,207.76 × 2,281.35
  4. Step 4: Simplify right side
    3,773.70x = 11,880,723.28
  5. Step 5: Solve for x
    x = 11,880,723.28/3,773.70
  6. Step 6: Final answer
    x = 3,148.30

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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.