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Finding the Fourth Proportional to 7,781.87, 10,738.55 and 4,424.21

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Solution

The fourth proportional to 7,781.87, 10,738.55 and 4,424.21 is: 6,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.87 : 10,738.55 = 4,424.21 : x
  2. Step 2: Convert to fraction form
    7,781.87/10,738.55 = 4,424.21/x
  3. Step 3: Cross multiply
    7,781.87x = 10,738.55 × 4,424.21
  4. Step 4: Simplify right side
    7,781.87x = 47,509,578.17
  5. Step 5: Solve for x
    x = 47,509,578.17/7,781.87
  6. Step 6: Final answer
    x = 6,105.16

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1.5x scale

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.