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Finding the Fourth Proportional to 4,272.48, 6,448.68 and 4,272.48

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Solution

The fourth proportional to 4,272.48, 6,448.68 and 4,272.48 is: 6,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.48 : 6,448.68 = 4,272.48 : x
  2. Step 2: Convert to fraction form
    4,272.48/6,448.68 = 4,272.48/x
  3. Step 3: Cross multiply
    4,272.48x = 6,448.68 × 4,272.48
  4. Step 4: Simplify right side
    4,272.48x = 27,551,856.33
  5. Step 5: Solve for x
    x = 27,551,856.33/4,272.48
  6. Step 6: Final answer
    x = 6,448.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.