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Finding the Fourth Proportional to 4,928.72, 7,390.64 and 1,806.37

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Solution

The fourth proportional to 4,928.72, 7,390.64 and 1,806.37 is: 2,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.72 : 7,390.64 = 1,806.37 : x
  2. Step 2: Convert to fraction form
    4,928.72/7,390.64 = 1,806.37/x
  3. Step 3: Cross multiply
    4,928.72x = 7,390.64 × 1,806.37
  4. Step 4: Simplify right side
    4,928.72x = 13,350,216.42
  5. Step 5: Solve for x
    x = 13,350,216.42/4,928.72
  6. Step 6: Final answer
    x = 2,708.66

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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.