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Finding the Fourth Proportional to 5,100.78, 7,651.26 and 1,402.99

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Solution

The fourth proportional to 5,100.78, 7,651.26 and 1,402.99 is: 2,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.78 : 7,651.26 = 1,402.99 : x
  2. Step 2: Convert to fraction form
    5,100.78/7,651.26 = 1,402.99/x
  3. Step 3: Cross multiply
    5,100.78x = 7,651.26 × 1,402.99
  4. Step 4: Simplify right side
    5,100.78x = 10,734,622.14
  5. Step 5: Solve for x
    x = 10,734,622.14/5,100.78
  6. Step 6: Final answer
    x = 2,104.51

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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.