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Finding the Fourth Proportional to 5,490.88, 7,577.43 and 2,973.02

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Solution

The fourth proportional to 5,490.88, 7,577.43 and 2,973.02 is: 4,102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.88 : 7,577.43 = 2,973.02 : x
  2. Step 2: Convert to fraction form
    5,490.88/7,577.43 = 2,973.02/x
  3. Step 3: Cross multiply
    5,490.88x = 7,577.43 × 2,973.02
  4. Step 4: Simplify right side
    5,490.88x = 22,527,850.94
  5. Step 5: Solve for x
    x = 22,527,850.94/5,490.88
  6. Step 6: Final answer
    x = 4,102.78

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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.