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Finding the Fourth Proportional to 2,978.40, 4,110.37 and 1,719.68

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Solution

The fourth proportional to 2,978.40, 4,110.37 and 1,719.68 is: 2,373.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.40 : 4,110.37 = 1,719.68 : x
  2. Step 2: Convert to fraction form
    2,978.40/4,110.37 = 1,719.68/x
  3. Step 3: Cross multiply
    2,978.40x = 4,110.37 × 1,719.68
  4. Step 4: Simplify right side
    2,978.40x = 7,068,535.66
  5. Step 5: Solve for x
    x = 7,068,535.66/2,978.40
  6. Step 6: Final answer
    x = 2,373.27

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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.