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Finding the Fourth Proportional to 8,125.86, 12,176.00 and 6,281.49

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Solution

The fourth proportional to 8,125.86, 12,176.00 and 6,281.49 is: 9,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.86 : 12,176.00 = 6,281.49 : x
  2. Step 2: Convert to fraction form
    8,125.86/12,176.00 = 6,281.49/x
  3. Step 3: Cross multiply
    8,125.86x = 12,176.00 × 6,281.49
  4. Step 4: Simplify right side
    8,125.86x = 76,483,390.83
  5. Step 5: Solve for x
    x = 76,483,390.83/8,125.86
  6. Step 6: Final answer
    x = 9,412.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.