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Finding the Fourth Proportional to 7,274.82, 10,913.24 and 3,577.20

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Solution

The fourth proportional to 7,274.82, 10,913.24 and 3,577.20 is: 5,366.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.82 : 10,913.24 = 3,577.20 : x
  2. Step 2: Convert to fraction form
    7,274.82/10,913.24 = 3,577.20/x
  3. Step 3: Cross multiply
    7,274.82x = 10,913.24 × 3,577.20
  4. Step 4: Simplify right side
    7,274.82x = 39,038,842.13
  5. Step 5: Solve for x
    x = 39,038,842.13/7,274.82
  6. Step 6: Final answer
    x = 5,366.30

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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.