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Finding the Fourth Proportional to 3,042.98, 4,564.49 and 1,095.19

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Solution

The fourth proportional to 3,042.98, 4,564.49 and 1,095.19 is: 1,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.98 : 4,564.49 = 1,095.19 : x
  2. Step 2: Convert to fraction form
    3,042.98/4,564.49 = 1,095.19/x
  3. Step 3: Cross multiply
    3,042.98x = 4,564.49 × 1,095.19
  4. Step 4: Simplify right side
    3,042.98x = 4,998,966.92
  5. Step 5: Solve for x
    x = 4,998,966.92/3,042.98
  6. Step 6: Final answer
    x = 1,642.78

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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.