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Finding the Fourth Proportional to 3,112.70, 4,669.05 and 921.45

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Solution

The fourth proportional to 3,112.70, 4,669.05 and 921.45 is: 1,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.70 : 4,669.05 = 921.45 : x
  2. Step 2: Convert to fraction form
    3,112.70/4,669.05 = 921.45/x
  3. Step 3: Cross multiply
    3,112.70x = 4,669.05 × 921.45
  4. Step 4: Simplify right side
    3,112.70x = 4,302,296.12
  5. Step 5: Solve for x
    x = 4,302,296.12/3,112.70
  6. Step 6: Final answer
    x = 1,382.18

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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.