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Finding the Fourth Proportional to 1,972.59, 2,722.22 and 1,133.43

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Solution

The fourth proportional to 1,972.59, 2,722.22 and 1,133.43 is: 1,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.59 : 2,722.22 = 1,133.43 : x
  2. Step 2: Convert to fraction form
    1,972.59/2,722.22 = 1,133.43/x
  3. Step 3: Cross multiply
    1,972.59x = 2,722.22 × 1,133.43
  4. Step 4: Simplify right side
    1,972.59x = 3,085,445.81
  5. Step 5: Solve for x
    x = 3,085,445.81/1,972.59
  6. Step 6: Final answer
    x = 1,564.16

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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.