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Finding the Fourth Proportional to 3,835.77, 5,290.77 and 2,341.78

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Solution

The fourth proportional to 3,835.77, 5,290.77 and 2,341.78 is: 3,230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.77 : 5,290.77 = 2,341.78 : x
  2. Step 2: Convert to fraction form
    3,835.77/5,290.77 = 2,341.78/x
  3. Step 3: Cross multiply
    3,835.77x = 5,290.77 × 2,341.78
  4. Step 4: Simplify right side
    3,835.77x = 12,389,801.75
  5. Step 5: Solve for x
    x = 12,389,801.75/3,835.77
  6. Step 6: Final answer
    x = 3,230.07

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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.