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Finding the Fourth Proportional to 11,978.95, 17,969.29 and 4,859.77

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Solution

The fourth proportional to 11,978.95, 17,969.29 and 4,859.77 is: 7,290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.95 : 17,969.29 = 4,859.77 : x
  2. Step 2: Convert to fraction form
    11,978.95/17,969.29 = 4,859.77/x
  3. Step 3: Cross multiply
    11,978.95x = 17,969.29 × 4,859.77
  4. Step 4: Simplify right side
    11,978.95x = 87,326,620.42
  5. Step 5: Solve for x
    x = 87,326,620.42/11,978.95
  6. Step 6: Final answer
    x = 7,290.01

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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.