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Finding the Fourth Proportional to 2,594.79, 3,892.41 and 746.10

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Solution

The fourth proportional to 2,594.79, 3,892.41 and 746.10 is: 1,119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.79 : 3,892.41 = 746.10 : x
  2. Step 2: Convert to fraction form
    2,594.79/3,892.41 = 746.10/x
  3. Step 3: Cross multiply
    2,594.79x = 3,892.41 × 746.10
  4. Step 4: Simplify right side
    2,594.79x = 2,904,127.10
  5. Step 5: Solve for x
    x = 2,904,127.10/2,594.79
  6. Step 6: Final answer
    x = 1,119.21

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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.