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Finding the Fourth Proportional to 7,806.84, 10,778.64 and 4,621.17

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Solution

The fourth proportional to 7,806.84, 10,778.64 and 4,621.17 is: 6,380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.84 : 10,778.64 = 4,621.17 : x
  2. Step 2: Convert to fraction form
    7,806.84/10,778.64 = 4,621.17/x
  3. Step 3: Cross multiply
    7,806.84x = 10,778.64 × 4,621.17
  4. Step 4: Simplify right side
    7,806.84x = 49,809,927.81
  5. Step 5: Solve for x
    x = 49,809,927.81/7,806.84
  6. Step 6: Final answer
    x = 6,380.29

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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.