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Finding the Fourth Proportional to 5,503.78, 8,257.02 and 2,578.67

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Solution

The fourth proportional to 5,503.78, 8,257.02 and 2,578.67 is: 3,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.78 : 8,257.02 = 2,578.67 : x
  2. Step 2: Convert to fraction form
    5,503.78/8,257.02 = 2,578.67/x
  3. Step 3: Cross multiply
    5,503.78x = 8,257.02 × 2,578.67
  4. Step 4: Simplify right side
    5,503.78x = 21,292,129.76
  5. Step 5: Solve for x
    x = 21,292,129.76/5,503.78
  6. Step 6: Final answer
    x = 3,868.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.