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Finding the Fourth Proportional to 3,577.74, 4,932.24 and 3,085.62

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Solution

The fourth proportional to 3,577.74, 4,932.24 and 3,085.62 is: 4,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.74 : 4,932.24 = 3,085.62 : x
  2. Step 2: Convert to fraction form
    3,577.74/4,932.24 = 3,085.62/x
  3. Step 3: Cross multiply
    3,577.74x = 4,932.24 × 3,085.62
  4. Step 4: Simplify right side
    3,577.74x = 15,219,018.39
  5. Step 5: Solve for x
    x = 15,219,018.39/3,577.74
  6. Step 6: Final answer
    x = 4,253.81

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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.