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Finding the Fourth Proportional to 21,097, 29,114.34 and 13,657.96

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Solution

The fourth proportional to 21,097, 29,114.34 and 13,657.96 is: 18,848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097 : 29,114.34 = 13,657.96 : x
  2. Step 2: Convert to fraction form
    21,097/29,114.34 = 13,657.96/x
  3. Step 3: Cross multiply
    21,097x = 29,114.34 × 13,657.96
  4. Step 4: Simplify right side
    21,097x = 397,642,491.15
  5. Step 5: Solve for x
    x = 397,642,491.15/21,097
  6. Step 6: Final answer
    x = 18,848.30

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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.