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Finding the Fourth Proportional to 9,079.36, 13,619 and 4,945.64

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Solution

The fourth proportional to 9,079.36, 13,619 and 4,945.64 is: 7,418.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,079.36 : 13,619 = 4,945.64 : x
  2. Step 2: Convert to fraction form
    9,079.36/13,619 = 4,945.64/x
  3. Step 3: Cross multiply
    9,079.36x = 13,619 × 4,945.64
  4. Step 4: Simplify right side
    9,079.36x = 67,354,671.16
  5. Step 5: Solve for x
    x = 67,354,671.16/9,079.36
  6. Step 6: Final answer
    x = 7,418.44

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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.