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Finding the Fourth Proportional to 7,227.45, 9,978.83 and 4,539.87

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Solution

The fourth proportional to 7,227.45, 9,978.83 and 4,539.87 is: 6,268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.45 : 9,978.83 = 4,539.87 : x
  2. Step 2: Convert to fraction form
    7,227.45/9,978.83 = 4,539.87/x
  3. Step 3: Cross multiply
    7,227.45x = 9,978.83 × 4,539.87
  4. Step 4: Simplify right side
    7,227.45x = 45,302,568.25
  5. Step 5: Solve for x
    x = 45,302,568.25/7,227.45
  6. Step 6: Final answer
    x = 6,268.13

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1.5x scale

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.