Home / 2,049-2,827.76-1,262.67

Finding the Fourth Proportional to 2,049, 2,827.76 and 1,262.67

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Solution

The fourth proportional to 2,049, 2,827.76 and 1,262.67 is: 1,742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049 : 2,827.76 = 1,262.67 : x
  2. Step 2: Convert to fraction form
    2,049/2,827.76 = 1,262.67/x
  3. Step 3: Cross multiply
    2,049x = 2,827.76 × 1,262.67
  4. Step 4: Simplify right side
    2,049x = 3,570,521.41
  5. Step 5: Solve for x
    x = 3,570,521.41/2,049
  6. Step 6: Final answer
    x = 1,742.57

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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.