Home / 1,727.96-2,378.76-1,561.67

Finding the Fourth Proportional to 1,727.96, 2,378.76 and 1,561.67

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Solution

The fourth proportional to 1,727.96, 2,378.76 and 1,561.67 is: 2,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.96 : 2,378.76 = 1,561.67 : x
  2. Step 2: Convert to fraction form
    1,727.96/2,378.76 = 1,561.67/x
  3. Step 3: Cross multiply
    1,727.96x = 2,378.76 × 1,561.67
  4. Step 4: Simplify right side
    1,727.96x = 3,714,838.13
  5. Step 5: Solve for x
    x = 3,714,838.13/1,727.96
  6. Step 6: Final answer
    x = 2,149.84

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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.