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Finding the Fourth Proportional to 6,468.86, 8,926.91 and 4,078.35

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Solution

The fourth proportional to 6,468.86, 8,926.91 and 4,078.35 is: 5,628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.86 : 8,926.91 = 4,078.35 : x
  2. Step 2: Convert to fraction form
    6,468.86/8,926.91 = 4,078.35/x
  3. Step 3: Cross multiply
    6,468.86x = 8,926.91 × 4,078.35
  4. Step 4: Simplify right side
    6,468.86x = 36,407,058.30
  5. Step 5: Solve for x
    x = 36,407,058.30/6,468.86
  6. Step 6: Final answer
    x = 5,628.05

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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.