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Finding the Fourth Proportional to 5,100.84, 7,651.08 and 1,981.56

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Solution

The fourth proportional to 5,100.84, 7,651.08 and 1,981.56 is: 2,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.84 : 7,651.08 = 1,981.56 : x
  2. Step 2: Convert to fraction form
    5,100.84/7,651.08 = 1,981.56/x
  3. Step 3: Cross multiply
    5,100.84x = 7,651.08 × 1,981.56
  4. Step 4: Simplify right side
    5,100.84x = 15,161,074.08
  5. Step 5: Solve for x
    x = 15,161,074.08/5,100.84
  6. Step 6: Final answer
    x = 2,972.27

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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.