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Finding the Fourth Proportional to 7,706.72, 10,629.84 and 7,449.60

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Solution

The fourth proportional to 7,706.72, 10,629.84 and 7,449.60 is: 10,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.72 : 10,629.84 = 7,449.60 : x
  2. Step 2: Convert to fraction form
    7,706.72/10,629.84 = 7,449.60/x
  3. Step 3: Cross multiply
    7,706.72x = 10,629.84 × 7,449.60
  4. Step 4: Simplify right side
    7,706.72x = 79,188,056.06
  5. Step 5: Solve for x
    x = 79,188,056.06/7,706.72
  6. Step 6: Final answer
    x = 10,275.20

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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.