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Finding the Fourth Proportional to 6,289.86, 9,424.98 and 3,976.50

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Solution

The fourth proportional to 6,289.86, 9,424.98 and 3,976.50 is: 5,958.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.86 : 9,424.98 = 3,976.50 : x
  2. Step 2: Convert to fraction form
    6,289.86/9,424.98 = 3,976.50/x
  3. Step 3: Cross multiply
    6,289.86x = 9,424.98 × 3,976.50
  4. Step 4: Simplify right side
    6,289.86x = 37,478,432.97
  5. Step 5: Solve for x
    x = 37,478,432.97/6,289.86
  6. Step 6: Final answer
    x = 5,958.55

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1.5x scale

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.