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Finding the Fourth Proportional to 6,371.82, 8,783.84 and 4,477.74

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Solution

The fourth proportional to 6,371.82, 8,783.84 and 4,477.74 is: 6,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.82 : 8,783.84 = 4,477.74 : x
  2. Step 2: Convert to fraction form
    6,371.82/8,783.84 = 4,477.74/x
  3. Step 3: Cross multiply
    6,371.82x = 8,783.84 × 4,477.74
  4. Step 4: Simplify right side
    6,371.82x = 39,331,751.72
  5. Step 5: Solve for x
    x = 39,331,751.72/6,371.82
  6. Step 6: Final answer
    x = 6,172.77

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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.