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Finding the Fourth Proportional to 7,985.59, 11,978.69 and 3,055.73

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Solution

The fourth proportional to 7,985.59, 11,978.69 and 3,055.73 is: 4,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.59 : 11,978.69 = 3,055.73 : x
  2. Step 2: Convert to fraction form
    7,985.59/11,978.69 = 3,055.73/x
  3. Step 3: Cross multiply
    7,985.59x = 11,978.69 × 3,055.73
  4. Step 4: Simplify right side
    7,985.59x = 36,603,567.22
  5. Step 5: Solve for x
    x = 36,603,567.22/7,985.59
  6. Step 6: Final answer
    x = 4,583.70

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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.