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Finding the Fourth Proportional to 9,762.86, 14,645.09 and 3,188.90

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Solution

The fourth proportional to 9,762.86, 14,645.09 and 3,188.90 is: 4,783.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.86 : 14,645.09 = 3,188.90 : x
  2. Step 2: Convert to fraction form
    9,762.86/14,645.09 = 3,188.90/x
  3. Step 3: Cross multiply
    9,762.86x = 14,645.09 × 3,188.90
  4. Step 4: Simplify right side
    9,762.86x = 46,701,727.50
  5. Step 5: Solve for x
    x = 46,701,727.50/9,762.86
  6. Step 6: Final answer
    x = 4,783.61

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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.