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Finding the Fourth Proportional to 14,369.03, 19,825.38 and 8,402.16

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Solution

The fourth proportional to 14,369.03, 19,825.38 and 8,402.16 is: 11,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.03 : 19,825.38 = 8,402.16 : x
  2. Step 2: Convert to fraction form
    14,369.03/19,825.38 = 8,402.16/x
  3. Step 3: Cross multiply
    14,369.03x = 19,825.38 × 8,402.16
  4. Step 4: Simplify right side
    14,369.03x = 166,576,014.82
  5. Step 5: Solve for x
    x = 166,576,014.82/14,369.03
  6. Step 6: Final answer
    x = 11,592.71

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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.