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Finding the Fourth Proportional to 7,043.90, 9,720.36 and 3,978

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Solution

The fourth proportional to 7,043.90, 9,720.36 and 3,978 is: 5,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,043.90 : 9,720.36 = 3,978 : x
  2. Step 2: Convert to fraction form
    7,043.90/9,720.36 = 3,978/x
  3. Step 3: Cross multiply
    7,043.90x = 9,720.36 × 3,978
  4. Step 4: Simplify right side
    7,043.90x = 38,667,592.08
  5. Step 5: Solve for x
    x = 38,667,592.08/7,043.90
  6. Step 6: Final answer
    x = 5,489.52

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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.