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Finding the Fourth Proportional to 6,394.77, 8,829.14 and 5,218.65

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Solution

The fourth proportional to 6,394.77, 8,829.14 and 5,218.65 is: 7,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.77 : 8,829.14 = 5,218.65 : x
  2. Step 2: Convert to fraction form
    6,394.77/8,829.14 = 5,218.65/x
  3. Step 3: Cross multiply
    6,394.77x = 8,829.14 × 5,218.65
  4. Step 4: Simplify right side
    6,394.77x = 46,076,165.37
  5. Step 5: Solve for x
    x = 46,076,165.37/6,394.77
  6. Step 6: Final answer
    x = 7,205.29

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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.