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Finding the Fourth Proportional to 14,099, 21,126.54 and 5,329.14

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Solution

The fourth proportional to 14,099, 21,126.54 and 5,329.14 is: 7,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099 : 21,126.54 = 5,329.14 : x
  2. Step 2: Convert to fraction form
    14,099/21,126.54 = 5,329.14/x
  3. Step 3: Cross multiply
    14,099x = 21,126.54 × 5,329.14
  4. Step 4: Simplify right side
    14,099x = 112,586,289.38
  5. Step 5: Solve for x
    x = 112,586,289.38/14,099
  6. Step 6: Final answer
    x = 7,985.41

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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.