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Finding the Fourth Proportional to 3,778.88, 5,212.16 and 2,602.80

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Solution

The fourth proportional to 3,778.88, 5,212.16 and 2,602.80 is: 3,590.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.88 : 5,212.16 = 2,602.80 : x
  2. Step 2: Convert to fraction form
    3,778.88/5,212.16 = 2,602.80/x
  3. Step 3: Cross multiply
    3,778.88x = 5,212.16 × 2,602.80
  4. Step 4: Simplify right side
    3,778.88x = 13,566,210.05
  5. Step 5: Solve for x
    x = 13,566,210.05/3,778.88
  6. Step 6: Final answer
    x = 3,590.01

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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.