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Finding the Fourth Proportional to 3,827.76, 5,277.96 and 3,454.62

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Solution

The fourth proportional to 3,827.76, 5,277.96 and 3,454.62 is: 4,763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.76 : 5,277.96 = 3,454.62 : x
  2. Step 2: Convert to fraction form
    3,827.76/5,277.96 = 3,454.62/x
  3. Step 3: Cross multiply
    3,827.76x = 5,277.96 × 3,454.62
  4. Step 4: Simplify right side
    3,827.76x = 18,233,346.18
  5. Step 5: Solve for x
    x = 18,233,346.18/3,827.76
  6. Step 6: Final answer
    x = 4,763.45

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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.