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Finding the Fourth Proportional to 2,817.48, 3,889.86 and 1,922.28

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Solution

The fourth proportional to 2,817.48, 3,889.86 and 1,922.28 is: 2,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.48 : 3,889.86 = 1,922.28 : x
  2. Step 2: Convert to fraction form
    2,817.48/3,889.86 = 1,922.28/x
  3. Step 3: Cross multiply
    2,817.48x = 3,889.86 × 1,922.28
  4. Step 4: Simplify right side
    2,817.48x = 7,477,400.08
  5. Step 5: Solve for x
    x = 7,477,400.08/2,817.48
  6. Step 6: Final answer
    x = 2,653.93

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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.