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Finding the Fourth Proportional to 8,186.83, 12,282.03 and 4,678.52

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Solution

The fourth proportional to 8,186.83, 12,282.03 and 4,678.52 is: 7,018.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.83 : 12,282.03 = 4,678.52 : x
  2. Step 2: Convert to fraction form
    8,186.83/12,282.03 = 4,678.52/x
  3. Step 3: Cross multiply
    8,186.83x = 12,282.03 × 4,678.52
  4. Step 4: Simplify right side
    8,186.83x = 57,461,661.59
  5. Step 5: Solve for x
    x = 57,461,661.59/8,186.83
  6. Step 6: Final answer
    x = 7,018.79

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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.