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Finding the Fourth Proportional to 3,788.94, 5,666.97 and 2,225.22

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Solution

The fourth proportional to 3,788.94, 5,666.97 and 2,225.22 is: 3,328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.94 : 5,666.97 = 2,225.22 : x
  2. Step 2: Convert to fraction form
    3,788.94/5,666.97 = 2,225.22/x
  3. Step 3: Cross multiply
    3,788.94x = 5,666.97 × 2,225.22
  4. Step 4: Simplify right side
    3,788.94x = 12,610,254.98
  5. Step 5: Solve for x
    x = 12,610,254.98/3,788.94
  6. Step 6: Final answer
    x = 3,328.17

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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.