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Finding the Fourth Proportional to 1,792.22, 2,473.50 and 1,006.31

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Solution

The fourth proportional to 1,792.22, 2,473.50 and 1,006.31 is: 1,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.22 : 2,473.50 = 1,006.31 : x
  2. Step 2: Convert to fraction form
    1,792.22/2,473.50 = 1,006.31/x
  3. Step 3: Cross multiply
    1,792.22x = 2,473.50 × 1,006.31
  4. Step 4: Simplify right side
    1,792.22x = 2,489,117.74
  5. Step 5: Solve for x
    x = 2,489,117.74/1,792.22
  6. Step 6: Final answer
    x = 1,388.85

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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.