Home / 6,434-8,879.46-4,075.28

Finding the Fourth Proportional to 6,434, 8,879.46 and 4,075.28

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Solution

The fourth proportional to 6,434, 8,879.46 and 4,075.28 is: 5,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434 : 8,879.46 = 4,075.28 : x
  2. Step 2: Convert to fraction form
    6,434/8,879.46 = 4,075.28/x
  3. Step 3: Cross multiply
    6,434x = 8,879.46 × 4,075.28
  4. Step 4: Simplify right side
    6,434x = 36,186,285.75
  5. Step 5: Solve for x
    x = 36,186,285.75/6,434
  6. Step 6: Final answer
    x = 5,624.23

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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.