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Finding the Fourth Proportional to 3,798.84, 5,698.64 and 1,577.22

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Solution

The fourth proportional to 3,798.84, 5,698.64 and 1,577.22 is: 2,365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.84 : 5,698.64 = 1,577.22 : x
  2. Step 2: Convert to fraction form
    3,798.84/5,698.64 = 1,577.22/x
  3. Step 3: Cross multiply
    3,798.84x = 5,698.64 × 1,577.22
  4. Step 4: Simplify right side
    3,798.84x = 8,988,008.98
  5. Step 5: Solve for x
    x = 8,988,008.98/3,798.84
  6. Step 6: Final answer
    x = 2,365.99

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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.