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Finding the Fourth Proportional to 21,137.16, 29,169.90 and 11,705.88

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Solution

The fourth proportional to 21,137.16, 29,169.90 and 11,705.88 is: 16,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,137.16 : 29,169.90 = 11,705.88 : x
  2. Step 2: Convert to fraction form
    21,137.16/29,169.90 = 11,705.88/x
  3. Step 3: Cross multiply
    21,137.16x = 29,169.90 × 11,705.88
  4. Step 4: Simplify right side
    21,137.16x = 341,459,349.01
  5. Step 5: Solve for x
    x = 341,459,349.01/21,137.16
  6. Step 6: Final answer
    x = 16,154.46

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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.