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Finding the Fourth Proportional to 2,978.84, 4,109.97 and 2,347.41

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Solution

The fourth proportional to 2,978.84, 4,109.97 and 2,347.41 is: 3,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.84 : 4,109.97 = 2,347.41 : x
  2. Step 2: Convert to fraction form
    2,978.84/4,109.97 = 2,347.41/x
  3. Step 3: Cross multiply
    2,978.84x = 4,109.97 × 2,347.41
  4. Step 4: Simplify right side
    2,978.84x = 9,647,792.38
  5. Step 5: Solve for x
    x = 9,647,792.38/2,978.84
  6. Step 6: Final answer
    x = 3,238.77

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1.5x scale

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.