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Finding the Fourth Proportional to 1,842.16, 2,765.58 and 1,823.80

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Solution

The fourth proportional to 1,842.16, 2,765.58 and 1,823.80 is: 2,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.16 : 2,765.58 = 1,823.80 : x
  2. Step 2: Convert to fraction form
    1,842.16/2,765.58 = 1,823.80/x
  3. Step 3: Cross multiply
    1,842.16x = 2,765.58 × 1,823.80
  4. Step 4: Simplify right side
    1,842.16x = 5,043,864.80
  5. Step 5: Solve for x
    x = 5,043,864.80/1,842.16
  6. Step 6: Final answer
    x = 2,738.02

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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.