Home / 1,964.24-2,709.46-1,543.92

Finding the Fourth Proportional to 1,964.24, 2,709.46 and 1,543.92

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Solution

The fourth proportional to 1,964.24, 2,709.46 and 1,543.92 is: 2,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.24 : 2,709.46 = 1,543.92 : x
  2. Step 2: Convert to fraction form
    1,964.24/2,709.46 = 1,543.92/x
  3. Step 3: Cross multiply
    1,964.24x = 2,709.46 × 1,543.92
  4. Step 4: Simplify right side
    1,964.24x = 4,183,189.48
  5. Step 5: Solve for x
    x = 4,183,189.48/1,964.24
  6. Step 6: Final answer
    x = 2,129.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.