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Finding the Fourth Proportional to 2,566.38, 3,850.64 and 1,642.98

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Solution

The fourth proportional to 2,566.38, 3,850.64 and 1,642.98 is: 2,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.38 : 3,850.64 = 1,642.98 : x
  2. Step 2: Convert to fraction form
    2,566.38/3,850.64 = 1,642.98/x
  3. Step 3: Cross multiply
    2,566.38x = 3,850.64 × 1,642.98
  4. Step 4: Simplify right side
    2,566.38x = 6,326,524.51
  5. Step 5: Solve for x
    x = 6,326,524.51/2,566.38
  6. Step 6: Final answer
    x = 2,465.16

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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.