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Finding the Fourth Proportional to 3,112.60, 4,669.02 and 804.04

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Solution

The fourth proportional to 3,112.60, 4,669.02 and 804.04 is: 1,206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.60 : 4,669.02 = 804.04 : x
  2. Step 2: Convert to fraction form
    3,112.60/4,669.02 = 804.04/x
  3. Step 3: Cross multiply
    3,112.60x = 4,669.02 × 804.04
  4. Step 4: Simplify right side
    3,112.60x = 3,754,078.84
  5. Step 5: Solve for x
    x = 3,754,078.84/3,112.60
  6. Step 6: Final answer
    x = 1,206.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.