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Finding the Fourth Proportional to 13,317.30, 19,978.11 and 4,997.96

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Solution

The fourth proportional to 13,317.30, 19,978.11 and 4,997.96 is: 7,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,317.30 : 19,978.11 = 4,997.96 : x
  2. Step 2: Convert to fraction form
    13,317.30/19,978.11 = 4,997.96/x
  3. Step 3: Cross multiply
    13,317.30x = 19,978.11 × 4,997.96
  4. Step 4: Simplify right side
    13,317.30x = 99,849,794.66
  5. Step 5: Solve for x
    x = 99,849,794.66/13,317.30
  6. Step 6: Final answer
    x = 7,497.75

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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.