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Finding the Fourth Proportional to 7,164.81, 9,887.25 and 3,978.03

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Solution

The fourth proportional to 7,164.81, 9,887.25 and 3,978.03 is: 5,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.81 : 9,887.25 = 3,978.03 : x
  2. Step 2: Convert to fraction form
    7,164.81/9,887.25 = 3,978.03/x
  3. Step 3: Cross multiply
    7,164.81x = 9,887.25 × 3,978.03
  4. Step 4: Simplify right side
    7,164.81x = 39,331,748.49
  5. Step 5: Solve for x
    x = 39,331,748.49/7,164.81
  6. Step 6: Final answer
    x = 5,489.57

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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.