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Finding the Fourth Proportional to 7,744.28, 10,696.74 and 7,627.64

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Solution

The fourth proportional to 7,744.28, 10,696.74 and 7,627.64 is: 10,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.28 : 10,696.74 = 7,627.64 : x
  2. Step 2: Convert to fraction form
    7,744.28/10,696.74 = 7,627.64/x
  3. Step 3: Cross multiply
    7,744.28x = 10,696.74 × 7,627.64
  4. Step 4: Simplify right side
    7,744.28x = 81,590,881.89
  5. Step 5: Solve for x
    x = 81,590,881.89/7,744.28
  6. Step 6: Final answer
    x = 10,535.63

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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.