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Finding the Fourth Proportional to 7,696.80, 10,622.88 and 4,554.72

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Solution

The fourth proportional to 7,696.80, 10,622.88 and 4,554.72 is: 6,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.80 : 10,622.88 = 4,554.72 : x
  2. Step 2: Convert to fraction form
    7,696.80/10,622.88 = 4,554.72/x
  3. Step 3: Cross multiply
    7,696.80x = 10,622.88 × 4,554.72
  4. Step 4: Simplify right side
    7,696.80x = 48,384,243.99
  5. Step 5: Solve for x
    x = 48,384,243.99/7,696.80
  6. Step 6: Final answer
    x = 6,286.28

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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.