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Finding the Fourth Proportional to 8,550.78, 12,827.40 and 2,705.40

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Solution

The fourth proportional to 8,550.78, 12,827.40 and 2,705.40 is: 4,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,550.78 : 12,827.40 = 2,705.40 : x
  2. Step 2: Convert to fraction form
    8,550.78/12,827.40 = 2,705.40/x
  3. Step 3: Cross multiply
    8,550.78x = 12,827.40 × 2,705.40
  4. Step 4: Simplify right side
    8,550.78x = 34,703,247.96
  5. Step 5: Solve for x
    x = 34,703,247.96/8,550.78
  6. Step 6: Final answer
    x = 4,058.49

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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.