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Finding the Fourth Proportional to 7,230.56, 9,978 and 4,043.90

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Solution

The fourth proportional to 7,230.56, 9,978 and 4,043.90 is: 5,580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.56 : 9,978 = 4,043.90 : x
  2. Step 2: Convert to fraction form
    7,230.56/9,978 = 4,043.90/x
  3. Step 3: Cross multiply
    7,230.56x = 9,978 × 4,043.90
  4. Step 4: Simplify right side
    7,230.56x = 40,349,984.31
  5. Step 5: Solve for x
    x = 40,349,984.31/7,230.56
  6. Step 6: Final answer
    x = 5,580.48

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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.