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Finding the Fourth Proportional to 2,660.95, 3,993.23 and 929.57

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Solution

The fourth proportional to 2,660.95, 3,993.23 and 929.57 is: 1,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.95 : 3,993.23 = 929.57 : x
  2. Step 2: Convert to fraction form
    2,660.95/3,993.23 = 929.57/x
  3. Step 3: Cross multiply
    2,660.95x = 3,993.23 × 929.57
  4. Step 4: Simplify right side
    2,660.95x = 3,711,986.81
  5. Step 5: Solve for x
    x = 3,711,986.81/2,660.95
  6. Step 6: Final answer
    x = 1,394.99

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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.