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Finding the Fourth Proportional to 2,964.86, 4,447.76 and 912.38

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Solution

The fourth proportional to 2,964.86, 4,447.76 and 912.38 is: 1,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.86 : 4,447.76 = 912.38 : x
  2. Step 2: Convert to fraction form
    2,964.86/4,447.76 = 912.38/x
  3. Step 3: Cross multiply
    2,964.86x = 4,447.76 × 912.38
  4. Step 4: Simplify right side
    2,964.86x = 4,058,027.31
  5. Step 5: Solve for x
    x = 4,058,027.31/2,964.86
  6. Step 6: Final answer
    x = 1,368.71

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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.