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Finding the Fourth Proportional to 9,984.48, 14,978.64 and 3,828

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Solution

The fourth proportional to 9,984.48, 14,978.64 and 3,828 is: 5,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.48 : 14,978.64 = 3,828 : x
  2. Step 2: Convert to fraction form
    9,984.48/14,978.64 = 3,828/x
  3. Step 3: Cross multiply
    9,984.48x = 14,978.64 × 3,828
  4. Step 4: Simplify right side
    9,984.48x = 57,338,233.92
  5. Step 5: Solve for x
    x = 57,338,233.92/9,984.48
  6. Step 6: Final answer
    x = 5,742.74

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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.