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Finding the Fourth Proportional to 1,448.19, 1,998.51 and 1,116

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Solution

The fourth proportional to 1,448.19, 1,998.51 and 1,116 is: 1,540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.19 : 1,998.51 = 1,116 : x
  2. Step 2: Convert to fraction form
    1,448.19/1,998.51 = 1,116/x
  3. Step 3: Cross multiply
    1,448.19x = 1,998.51 × 1,116
  4. Step 4: Simplify right side
    1,448.19x = 2,230,337.16
  5. Step 5: Solve for x
    x = 2,230,337.16/1,448.19
  6. Step 6: Final answer
    x = 1,540.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.