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Finding the Fourth Proportional to 7,984.41, 11,018.50 and 4,448.32

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Solution

The fourth proportional to 7,984.41, 11,018.50 and 4,448.32 is: 6,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.41 : 11,018.50 = 4,448.32 : x
  2. Step 2: Convert to fraction form
    7,984.41/11,018.50 = 4,448.32/x
  3. Step 3: Cross multiply
    7,984.41x = 11,018.50 × 4,448.32
  4. Step 4: Simplify right side
    7,984.41x = 49,013,775.25
  5. Step 5: Solve for x
    x = 49,013,775.25/7,984.41
  6. Step 6: Final answer
    x = 6,138.69

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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.