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Finding the Fourth Proportional to 13,281.88, 18,336.36 and 7,978

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Solution

The fourth proportional to 13,281.88, 18,336.36 and 7,978 is: 11,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281.88 : 18,336.36 = 7,978 : x
  2. Step 2: Convert to fraction form
    13,281.88/18,336.36 = 7,978/x
  3. Step 3: Cross multiply
    13,281.88x = 18,336.36 × 7,978
  4. Step 4: Simplify right side
    13,281.88x = 146,287,480.08
  5. Step 5: Solve for x
    x = 146,287,480.08/13,281.88
  6. Step 6: Final answer
    x = 11,014.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.