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Finding the Fourth Proportional to 2,903.66, 4,007.12 and 1,577.44

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Solution

The fourth proportional to 2,903.66, 4,007.12 and 1,577.44 is: 2,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.66 : 4,007.12 = 1,577.44 : x
  2. Step 2: Convert to fraction form
    2,903.66/4,007.12 = 1,577.44/x
  3. Step 3: Cross multiply
    2,903.66x = 4,007.12 × 1,577.44
  4. Step 4: Simplify right side
    2,903.66x = 6,320,991.37
  5. Step 5: Solve for x
    x = 6,320,991.37/2,903.66
  6. Step 6: Final answer
    x = 2,176.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.