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Finding the Fourth Proportional to 21,956, 32,939.36 and 7,165.60

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Solution

The fourth proportional to 21,956, 32,939.36 and 7,165.60 is: 10,750.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,956 : 32,939.36 = 7,165.60 : x
  2. Step 2: Convert to fraction form
    21,956/32,939.36 = 7,165.60/x
  3. Step 3: Cross multiply
    21,956x = 32,939.36 × 7,165.60
  4. Step 4: Simplify right side
    21,956x = 236,030,278.02
  5. Step 5: Solve for x
    x = 236,030,278.02/21,956
  6. Step 6: Final answer
    x = 10,750.15

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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.