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Finding the Fourth Proportional to 3,020.79, 4,529.81 and 940.19

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Solution

The fourth proportional to 3,020.79, 4,529.81 and 940.19 is: 1,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.79 : 4,529.81 = 940.19 : x
  2. Step 2: Convert to fraction form
    3,020.79/4,529.81 = 940.19/x
  3. Step 3: Cross multiply
    3,020.79x = 4,529.81 × 940.19
  4. Step 4: Simplify right side
    3,020.79x = 4,258,854.71
  5. Step 5: Solve for x
    x = 4,258,854.71/3,020.79
  6. Step 6: Final answer
    x = 1,409.85

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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.