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Finding the Fourth Proportional to 6,448.78, 8,896.44 and 4,677.22

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Solution

The fourth proportional to 6,448.78, 8,896.44 and 4,677.22 is: 6,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.78 : 8,896.44 = 4,677.22 : x
  2. Step 2: Convert to fraction form
    6,448.78/8,896.44 = 4,677.22/x
  3. Step 3: Cross multiply
    6,448.78x = 8,896.44 × 4,677.22
  4. Step 4: Simplify right side
    6,448.78x = 41,610,607.10
  5. Step 5: Solve for x
    x = 41,610,607.10/6,448.78
  6. Step 6: Final answer
    x = 6,452.48

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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.