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Finding the Fourth Proportional to 3,468.86, 5,203.30 and 1,276.64

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Solution

The fourth proportional to 3,468.86, 5,203.30 and 1,276.64 is: 1,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.86 : 5,203.30 = 1,276.64 : x
  2. Step 2: Convert to fraction form
    3,468.86/5,203.30 = 1,276.64/x
  3. Step 3: Cross multiply
    3,468.86x = 5,203.30 × 1,276.64
  4. Step 4: Simplify right side
    3,468.86x = 6,642,740.91
  5. Step 5: Solve for x
    x = 6,642,740.91/3,468.86
  6. Step 6: Final answer
    x = 1,914.96

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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.