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Finding the Fourth Proportional to 2,978.21, 4,109.85 and 1,651.93

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Solution

The fourth proportional to 2,978.21, 4,109.85 and 1,651.93 is: 2,279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.21 : 4,109.85 = 1,651.93 : x
  2. Step 2: Convert to fraction form
    2,978.21/4,109.85 = 1,651.93/x
  3. Step 3: Cross multiply
    2,978.21x = 4,109.85 × 1,651.93
  4. Step 4: Simplify right side
    2,978.21x = 6,789,174.24
  5. Step 5: Solve for x
    x = 6,789,174.24/2,978.21
  6. Step 6: Final answer
    x = 2,279.61

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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.