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Finding the Fourth Proportional to 5,163.42, 7,748.43 and 1,876.20

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Solution

The fourth proportional to 5,163.42, 7,748.43 and 1,876.20 is: 2,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.42 : 7,748.43 = 1,876.20 : x
  2. Step 2: Convert to fraction form
    5,163.42/7,748.43 = 1,876.20/x
  3. Step 3: Cross multiply
    5,163.42x = 7,748.43 × 1,876.20
  4. Step 4: Simplify right side
    5,163.42x = 14,537,604.37
  5. Step 5: Solve for x
    x = 14,537,604.37/5,163.42
  6. Step 6: Final answer
    x = 2,815.50

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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.