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Finding the Fourth Proportional to 2,984.99, 4,119.26 and 1,658.68

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Solution

The fourth proportional to 2,984.99, 4,119.26 and 1,658.68 is: 2,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.99 : 4,119.26 = 1,658.68 : x
  2. Step 2: Convert to fraction form
    2,984.99/4,119.26 = 1,658.68/x
  3. Step 3: Cross multiply
    2,984.99x = 4,119.26 × 1,658.68
  4. Step 4: Simplify right side
    2,984.99x = 6,832,515.59
  5. Step 5: Solve for x
    x = 6,832,515.59/2,984.99
  6. Step 6: Final answer
    x = 2,288.96

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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.