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Finding the Fourth Proportional to 2,978.68, 4,110.74 and 1,917.08

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Solution

The fourth proportional to 2,978.68, 4,110.74 and 1,917.08 is: 2,645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.68 : 4,110.74 = 1,917.08 : x
  2. Step 2: Convert to fraction form
    2,978.68/4,110.74 = 1,917.08/x
  3. Step 3: Cross multiply
    2,978.68x = 4,110.74 × 1,917.08
  4. Step 4: Simplify right side
    2,978.68x = 7,880,617.44
  5. Step 5: Solve for x
    x = 7,880,617.44/2,978.68
  6. Step 6: Final answer
    x = 2,645.67

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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.