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Finding the Fourth Proportional to 3,770.64, 5,655.03 and 1,581

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Solution

The fourth proportional to 3,770.64, 5,655.03 and 1,581 is: 2,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.64 : 5,655.03 = 1,581 : x
  2. Step 2: Convert to fraction form
    3,770.64/5,655.03 = 1,581/x
  3. Step 3: Cross multiply
    3,770.64x = 5,655.03 × 1,581
  4. Step 4: Simplify right side
    3,770.64x = 8,940,602.43
  5. Step 5: Solve for x
    x = 8,940,602.43/3,770.64
  6. Step 6: Final answer
    x = 2,371.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.