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Finding the Fourth Proportional to 8,962.41, 13,443.75 and 3,119.22

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Solution

The fourth proportional to 8,962.41, 13,443.75 and 3,119.22 is: 4,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962.41 : 13,443.75 = 3,119.22 : x
  2. Step 2: Convert to fraction form
    8,962.41/13,443.75 = 3,119.22/x
  3. Step 3: Cross multiply
    8,962.41x = 13,443.75 × 3,119.22
  4. Step 4: Simplify right side
    8,962.41x = 41,934,013.88
  5. Step 5: Solve for x
    x = 41,934,013.88/8,962.41
  6. Step 6: Final answer
    x = 4,678.88

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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.