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Finding the Fourth Proportional to 2,954.04, 4,431.06 and 762.78

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Solution

The fourth proportional to 2,954.04, 4,431.06 and 762.78 is: 1,144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.04 : 4,431.06 = 762.78 : x
  2. Step 2: Convert to fraction form
    2,954.04/4,431.06 = 762.78/x
  3. Step 3: Cross multiply
    2,954.04x = 4,431.06 × 762.78
  4. Step 4: Simplify right side
    2,954.04x = 3,379,923.95
  5. Step 5: Solve for x
    x = 3,379,923.95/2,954.04
  6. Step 6: Final answer
    x = 1,144.17

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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.