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Finding the Fourth Proportional to 2,978.51, 4,109.66 and 1,984.33

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Solution

The fourth proportional to 2,978.51, 4,109.66 and 1,984.33 is: 2,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.51 : 4,109.66 = 1,984.33 : x
  2. Step 2: Convert to fraction form
    2,978.51/4,109.66 = 1,984.33/x
  3. Step 3: Cross multiply
    2,978.51x = 4,109.66 × 1,984.33
  4. Step 4: Simplify right side
    2,978.51x = 8,154,901.08
  5. Step 5: Solve for x
    x = 8,154,901.08/2,978.51
  6. Step 6: Final answer
    x = 2,737.91

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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.