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Finding the Fourth Proportional to 2,098.19, 3,144.72 and 926.93

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Solution

The fourth proportional to 2,098.19, 3,144.72 and 926.93 is: 1,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.19 : 3,144.72 = 926.93 : x
  2. Step 2: Convert to fraction form
    2,098.19/3,144.72 = 926.93/x
  3. Step 3: Cross multiply
    2,098.19x = 3,144.72 × 926.93
  4. Step 4: Simplify right side
    2,098.19x = 2,914,935.31
  5. Step 5: Solve for x
    x = 2,914,935.31/2,098.19
  6. Step 6: Final answer
    x = 1,389.26

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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.