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Finding the Fourth Proportional to 1,448.84, 2,167.32 and 1,218.08

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Solution

The fourth proportional to 1,448.84, 2,167.32 and 1,218.08 is: 1,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.84 : 2,167.32 = 1,218.08 : x
  2. Step 2: Convert to fraction form
    1,448.84/2,167.32 = 1,218.08/x
  3. Step 3: Cross multiply
    1,448.84x = 2,167.32 × 1,218.08
  4. Step 4: Simplify right side
    1,448.84x = 2,639,969.15
  5. Step 5: Solve for x
    x = 2,639,969.15/1,448.84
  6. Step 6: Final answer
    x = 1,822.13

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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.