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Finding the Fourth Proportional to 3,464.68, 4,781.37 and 1,892.89

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Solution

The fourth proportional to 3,464.68, 4,781.37 and 1,892.89 is: 2,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.68 : 4,781.37 = 1,892.89 : x
  2. Step 2: Convert to fraction form
    3,464.68/4,781.37 = 1,892.89/x
  3. Step 3: Cross multiply
    3,464.68x = 4,781.37 × 1,892.89
  4. Step 4: Simplify right side
    3,464.68x = 9,050,607.46
  5. Step 5: Solve for x
    x = 9,050,607.46/3,464.68
  6. Step 6: Final answer
    x = 2,612.25

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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.