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Finding the Fourth Proportional to 1,665.70, 2,509.82 and 1,379.67

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Solution

The fourth proportional to 1,665.70, 2,509.82 and 1,379.67 is: 2,078.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.70 : 2,509.82 = 1,379.67 : x
  2. Step 2: Convert to fraction form
    1,665.70/2,509.82 = 1,379.67/x
  3. Step 3: Cross multiply
    1,665.70x = 2,509.82 × 1,379.67
  4. Step 4: Simplify right side
    1,665.70x = 3,462,712.22
  5. Step 5: Solve for x
    x = 3,462,712.22/1,665.70
  6. Step 6: Final answer
    x = 2,078.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.