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Finding the Fourth Proportional to 21,958.56, 32,920.56 and 15,714

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Solution

The fourth proportional to 21,958.56, 32,920.56 and 15,714 is: 23,558.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,958.56 : 32,920.56 = 15,714 : x
  2. Step 2: Convert to fraction form
    21,958.56/32,920.56 = 15,714/x
  3. Step 3: Cross multiply
    21,958.56x = 32,920.56 × 15,714
  4. Step 4: Simplify right side
    21,958.56x = 517,313,679.84
  5. Step 5: Solve for x
    x = 517,313,679.84/21,958.56
  6. Step 6: Final answer
    x = 23,558.63

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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.