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Finding the Fourth Proportional to 13,751.84, 18,977.61 and 7,784.67

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Solution

The fourth proportional to 13,751.84, 18,977.61 and 7,784.67 is: 10,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.84 : 18,977.61 = 7,784.67 : x
  2. Step 2: Convert to fraction form
    13,751.84/18,977.61 = 7,784.67/x
  3. Step 3: Cross multiply
    13,751.84x = 18,977.61 × 7,784.67
  4. Step 4: Simplify right side
    13,751.84x = 147,734,339.49
  5. Step 5: Solve for x
    x = 147,734,339.49/13,751.84
  6. Step 6: Final answer
    x = 10,742.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.