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Finding the Fourth Proportional to 2,143.79, 3,216.15 and 912.24

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Solution

The fourth proportional to 2,143.79, 3,216.15 and 912.24 is: 1,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.79 : 3,216.15 = 912.24 : x
  2. Step 2: Convert to fraction form
    2,143.79/3,216.15 = 912.24/x
  3. Step 3: Cross multiply
    2,143.79x = 3,216.15 × 912.24
  4. Step 4: Simplify right side
    2,143.79x = 2,933,900.68
  5. Step 5: Solve for x
    x = 2,933,900.68/2,143.79
  6. Step 6: Final answer
    x = 1,368.56

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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.