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Finding the Fourth Proportional to 2,823.34, 4,235.02 and 1,362.20

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Solution

The fourth proportional to 2,823.34, 4,235.02 and 1,362.20 is: 2,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.34 : 4,235.02 = 1,362.20 : x
  2. Step 2: Convert to fraction form
    2,823.34/4,235.02 = 1,362.20/x
  3. Step 3: Cross multiply
    2,823.34x = 4,235.02 × 1,362.20
  4. Step 4: Simplify right side
    2,823.34x = 5,768,944.24
  5. Step 5: Solve for x
    x = 5,768,944.24/2,823.34
  6. Step 6: Final answer
    x = 2,043.30

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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.