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Finding the Fourth Proportional to 13,740, 18,959.04 and 7,769.76

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Solution

The fourth proportional to 13,740, 18,959.04 and 7,769.76 is: 10,721.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740 : 18,959.04 = 7,769.76 : x
  2. Step 2: Convert to fraction form
    13,740/18,959.04 = 7,769.76/x
  3. Step 3: Cross multiply
    13,740x = 18,959.04 × 7,769.76
  4. Step 4: Simplify right side
    13,740x = 147,307,190.63
  5. Step 5: Solve for x
    x = 147,307,190.63/13,740
  6. Step 6: Final answer
    x = 10,721.05

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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.