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Finding the Fourth Proportional to 2,830.34, 3,907.68 and 1,822.49

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Solution

The fourth proportional to 2,830.34, 3,907.68 and 1,822.49 is: 2,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.34 : 3,907.68 = 1,822.49 : x
  2. Step 2: Convert to fraction form
    2,830.34/3,907.68 = 1,822.49/x
  3. Step 3: Cross multiply
    2,830.34x = 3,907.68 × 1,822.49
  4. Step 4: Simplify right side
    2,830.34x = 7,121,688.18
  5. Step 5: Solve for x
    x = 7,121,688.18/2,830.34
  6. Step 6: Final answer
    x = 2,516.20

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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.