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Finding the Fourth Proportional to 1,804.77, 2,486.62 and 1,214.28

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Solution

The fourth proportional to 1,804.77, 2,486.62 and 1,214.28 is: 1,673.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.77 : 2,486.62 = 1,214.28 : x
  2. Step 2: Convert to fraction form
    1,804.77/2,486.62 = 1,214.28/x
  3. Step 3: Cross multiply
    1,804.77x = 2,486.62 × 1,214.28
  4. Step 4: Simplify right side
    1,804.77x = 3,019,454.45
  5. Step 5: Solve for x
    x = 3,019,454.45/1,804.77
  6. Step 6: Final answer
    x = 1,673.04

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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.