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Finding the Fourth Proportional to 21,568.47, 29,764.47 and 12,137.01

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Solution

The fourth proportional to 21,568.47, 29,764.47 and 12,137.01 is: 16,749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568.47 : 29,764.47 = 12,137.01 : x
  2. Step 2: Convert to fraction form
    21,568.47/29,764.47 = 12,137.01/x
  3. Step 3: Cross multiply
    21,568.47x = 29,764.47 × 12,137.01
  4. Step 4: Simplify right side
    21,568.47x = 361,251,670.03
  5. Step 5: Solve for x
    x = 361,251,670.03/21,568.47
  6. Step 6: Final answer
    x = 16,749.06

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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.