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Finding the Fourth Proportional to 8,270, 11,412.48 and 4,493.12

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Solution

The fourth proportional to 8,270, 11,412.48 and 4,493.12 is: 6,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270 : 11,412.48 = 4,493.12 : x
  2. Step 2: Convert to fraction form
    8,270/11,412.48 = 4,493.12/x
  3. Step 3: Cross multiply
    8,270x = 11,412.48 × 4,493.12
  4. Step 4: Simplify right side
    8,270x = 51,277,642.14
  5. Step 5: Solve for x
    x = 51,277,642.14/8,270
  6. Step 6: Final answer
    x = 6,200.44

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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.