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Finding the Fourth Proportional to 6,530.94, 8,978.02 and 5,619.12

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Solution

The fourth proportional to 6,530.94, 8,978.02 and 5,619.12 is: 7,724.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.94 : 8,978.02 = 5,619.12 : x
  2. Step 2: Convert to fraction form
    6,530.94/8,978.02 = 5,619.12/x
  3. Step 3: Cross multiply
    6,530.94x = 8,978.02 × 5,619.12
  4. Step 4: Simplify right side
    6,530.94x = 50,448,571.74
  5. Step 5: Solve for x
    x = 50,448,571.74/6,530.94
  6. Step 6: Final answer
    x = 7,724.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.