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Finding the Fourth Proportional to 6,448.69, 9,673.03 and 4,256.90

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Solution

The fourth proportional to 6,448.69, 9,673.03 and 4,256.90 is: 6,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.69 : 9,673.03 = 4,256.90 : x
  2. Step 2: Convert to fraction form
    6,448.69/9,673.03 = 4,256.90/x
  3. Step 3: Cross multiply
    6,448.69x = 9,673.03 × 4,256.90
  4. Step 4: Simplify right side
    6,448.69x = 41,177,100.12
  5. Step 5: Solve for x
    x = 41,177,100.12/6,448.69
  6. Step 6: Final answer
    x = 6,385.35

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.