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Finding the Fourth Proportional to 7,866.84, 11,738.90 and 7,168.20

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Solution

The fourth proportional to 7,866.84, 11,738.90 and 7,168.20 is: 10,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.84 : 11,738.90 = 7,168.20 : x
  2. Step 2: Convert to fraction form
    7,866.84/11,738.90 = 7,168.20/x
  3. Step 3: Cross multiply
    7,866.84x = 11,738.90 × 7,168.20
  4. Step 4: Simplify right side
    7,866.84x = 84,146,782.98
  5. Step 5: Solve for x
    x = 84,146,782.98/7,866.84
  6. Step 6: Final answer
    x = 10,696.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.