Home / 2,071.68-3,108.64-1,378.64

Finding the Fourth Proportional to 2,071.68, 3,108.64 and 1,378.64

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Solution

The fourth proportional to 2,071.68, 3,108.64 and 1,378.64 is: 2,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.68 : 3,108.64 = 1,378.64 : x
  2. Step 2: Convert to fraction form
    2,071.68/3,108.64 = 1,378.64/x
  3. Step 3: Cross multiply
    2,071.68x = 3,108.64 × 1,378.64
  4. Step 4: Simplify right side
    2,071.68x = 4,285,695.45
  5. Step 5: Solve for x
    x = 4,285,695.45/2,071.68
  6. Step 6: Final answer
    x = 2,068.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.