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Finding the Fourth Proportional to 3,112.76, 4,669.47 and 921.49

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Solution

The fourth proportional to 3,112.76, 4,669.47 and 921.49 is: 1,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.76 : 4,669.47 = 921.49 : x
  2. Step 2: Convert to fraction form
    3,112.76/4,669.47 = 921.49/x
  3. Step 3: Cross multiply
    3,112.76x = 4,669.47 × 921.49
  4. Step 4: Simplify right side
    3,112.76x = 4,302,869.91
  5. Step 5: Solve for x
    x = 4,302,869.91/3,112.76
  6. Step 6: Final answer
    x = 1,382.33

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1.5x scale

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.