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Finding the Fourth Proportional to 7,978.49, 11,967.75 and 3,301.16

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Solution

The fourth proportional to 7,978.49, 11,967.75 and 3,301.16 is: 4,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.49 : 11,967.75 = 3,301.16 : x
  2. Step 2: Convert to fraction form
    7,978.49/11,967.75 = 3,301.16/x
  3. Step 3: Cross multiply
    7,978.49x = 11,967.75 × 3,301.16
  4. Step 4: Simplify right side
    7,978.49x = 39,507,457.59
  5. Step 5: Solve for x
    x = 39,507,457.59/7,978.49
  6. Step 6: Final answer
    x = 4,951.75

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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.