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Finding the Fourth Proportional to 4,286.50, 6,430.71 and 1,550.50

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Solution

The fourth proportional to 4,286.50, 6,430.71 and 1,550.50 is: 2,326.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.50 : 6,430.71 = 1,550.50 : x
  2. Step 2: Convert to fraction form
    4,286.50/6,430.71 = 1,550.50/x
  3. Step 3: Cross multiply
    4,286.50x = 6,430.71 × 1,550.50
  4. Step 4: Simplify right side
    4,286.50x = 9,970,815.86
  5. Step 5: Solve for x
    x = 9,970,815.86/4,286.50
  6. Step 6: Final answer
    x = 2,326.10

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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.