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Finding the Fourth Proportional to 7,027.40, 9,696.82 and 6,838.40

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Solution

The fourth proportional to 7,027.40, 9,696.82 and 6,838.40 is: 9,436.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.40 : 9,696.82 = 6,838.40 : x
  2. Step 2: Convert to fraction form
    7,027.40/9,696.82 = 6,838.40/x
  3. Step 3: Cross multiply
    7,027.40x = 9,696.82 × 6,838.40
  4. Step 4: Simplify right side
    7,027.40x = 66,310,733.89
  5. Step 5: Solve for x
    x = 66,310,733.89/7,027.40
  6. Step 6: Final answer
    x = 9,436.03

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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.