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Finding the Fourth Proportional to 2,830.16, 3,903.23 and 1,822.02

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Solution

The fourth proportional to 2,830.16, 3,903.23 and 1,822.02 is: 2,512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.16 : 3,903.23 = 1,822.02 : x
  2. Step 2: Convert to fraction form
    2,830.16/3,903.23 = 1,822.02/x
  3. Step 3: Cross multiply
    2,830.16x = 3,903.23 × 1,822.02
  4. Step 4: Simplify right side
    2,830.16x = 7,111,754.01
  5. Step 5: Solve for x
    x = 7,111,754.01/2,830.16
  6. Step 6: Final answer
    x = 2,512.85

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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.