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Finding the Fourth Proportional to 18,127.84, 25,011.60 and 10,956

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Solution

The fourth proportional to 18,127.84, 25,011.60 and 10,956 is: 15,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,127.84 : 25,011.60 = 10,956 : x
  2. Step 2: Convert to fraction form
    18,127.84/25,011.60 = 10,956/x
  3. Step 3: Cross multiply
    18,127.84x = 25,011.60 × 10,956
  4. Step 4: Simplify right side
    18,127.84x = 274,027,089.60
  5. Step 5: Solve for x
    x = 274,027,089.60/18,127.84
  6. Step 6: Final answer
    x = 15,116.37

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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.