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Finding the Fourth Proportional to 5,490.57, 7,577.82 and 4,162.08

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Solution

The fourth proportional to 5,490.57, 7,577.82 and 4,162.08 is: 5,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.57 : 7,577.82 = 4,162.08 : x
  2. Step 2: Convert to fraction form
    5,490.57/7,577.82 = 4,162.08/x
  3. Step 3: Cross multiply
    5,490.57x = 7,577.82 × 4,162.08
  4. Step 4: Simplify right side
    5,490.57x = 31,539,493.07
  5. Step 5: Solve for x
    x = 31,539,493.07/5,490.57
  6. Step 6: Final answer
    x = 5,744.30

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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.