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Finding the Fourth Proportional to 4,284, 6,427.08 and 1,206

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Solution

The fourth proportional to 4,284, 6,427.08 and 1,206 is: 1,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284 : 6,427.08 = 1,206 : x
  2. Step 2: Convert to fraction form
    4,284/6,427.08 = 1,206/x
  3. Step 3: Cross multiply
    4,284x = 6,427.08 × 1,206
  4. Step 4: Simplify right side
    4,284x = 7,751,058.48
  5. Step 5: Solve for x
    x = 7,751,058.48/4,284
  6. Step 6: Final answer
    x = 1,809.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.