Home / 5,678-7,835.88-3,319.76

Finding the Fourth Proportional to 5,678, 7,835.88 and 3,319.76

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Solution

The fourth proportional to 5,678, 7,835.88 and 3,319.76 is: 4,581.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678 : 7,835.88 = 3,319.76 : x
  2. Step 2: Convert to fraction form
    5,678/7,835.88 = 3,319.76/x
  3. Step 3: Cross multiply
    5,678x = 7,835.88 × 3,319.76
  4. Step 4: Simplify right side
    5,678x = 26,013,240.99
  5. Step 5: Solve for x
    x = 26,013,240.99/5,678
  6. Step 6: Final answer
    x = 4,581.41

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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.