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Finding the Fourth Proportional to 6,424.87, 8,867.33 and 3,907.77

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Solution

The fourth proportional to 6,424.87, 8,867.33 and 3,907.77 is: 5,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.87 : 8,867.33 = 3,907.77 : x
  2. Step 2: Convert to fraction form
    6,424.87/8,867.33 = 3,907.77/x
  3. Step 3: Cross multiply
    6,424.87x = 8,867.33 × 3,907.77
  4. Step 4: Simplify right side
    6,424.87x = 34,651,466.62
  5. Step 5: Solve for x
    x = 34,651,466.62/6,424.87
  6. Step 6: Final answer
    x = 5,393.33

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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.