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Finding the Fourth Proportional to 7,772.64, 10,668.86 and 6,914.55

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Solution

The fourth proportional to 7,772.64, 10,668.86 and 6,914.55 is: 9,491.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.64 : 10,668.86 = 6,914.55 : x
  2. Step 2: Convert to fraction form
    7,772.64/10,668.86 = 6,914.55/x
  3. Step 3: Cross multiply
    7,772.64x = 10,668.86 × 6,914.55
  4. Step 4: Simplify right side
    7,772.64x = 73,770,331.34
  5. Step 5: Solve for x
    x = 73,770,331.34/7,772.64
  6. Step 6: Final answer
    x = 9,491.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.