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Finding the Fourth Proportional to 2,471, 3,707.09 and 739.67

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Solution

The fourth proportional to 2,471, 3,707.09 and 739.67 is: 1,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471 : 3,707.09 = 739.67 : x
  2. Step 2: Convert to fraction form
    2,471/3,707.09 = 739.67/x
  3. Step 3: Cross multiply
    2,471x = 3,707.09 × 739.67
  4. Step 4: Simplify right side
    2,471x = 2,742,023.26
  5. Step 5: Solve for x
    x = 2,742,023.26/2,471
  6. Step 6: Final answer
    x = 1,109.68

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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.