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Finding the Fourth Proportional to 2,013.62, 3,022.47 and 918.74

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Solution

The fourth proportional to 2,013.62, 3,022.47 and 918.74 is: 1,379.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.62 : 3,022.47 = 918.74 : x
  2. Step 2: Convert to fraction form
    2,013.62/3,022.47 = 918.74/x
  3. Step 3: Cross multiply
    2,013.62x = 3,022.47 × 918.74
  4. Step 4: Simplify right side
    2,013.62x = 2,776,871.64
  5. Step 5: Solve for x
    x = 2,776,871.64/2,013.62
  6. Step 6: Final answer
    x = 1,379.05

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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.