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Finding the Fourth Proportional to 3,886.35, 5,821.29 and 3,142.77

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Solution

The fourth proportional to 3,886.35, 5,821.29 and 3,142.77 is: 4,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.35 : 5,821.29 = 3,142.77 : x
  2. Step 2: Convert to fraction form
    3,886.35/5,821.29 = 3,142.77/x
  3. Step 3: Cross multiply
    3,886.35x = 5,821.29 × 3,142.77
  4. Step 4: Simplify right side
    3,886.35x = 18,294,975.57
  5. Step 5: Solve for x
    x = 18,294,975.57/3,886.35
  6. Step 6: Final answer
    x = 4,707.50

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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.