Home / 2,776.24-3,830.76-1,534

Finding the Fourth Proportional to 2,776.24, 3,830.76 and 1,534

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Solution

The fourth proportional to 2,776.24, 3,830.76 and 1,534 is: 2,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.24 : 3,830.76 = 1,534 : x
  2. Step 2: Convert to fraction form
    2,776.24/3,830.76 = 1,534/x
  3. Step 3: Cross multiply
    2,776.24x = 3,830.76 × 1,534
  4. Step 4: Simplify right side
    2,776.24x = 5,876,385.84
  5. Step 5: Solve for x
    x = 5,876,385.84/2,776.24
  6. Step 6: Final answer
    x = 2,116.67

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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.