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Finding the Fourth Proportional to 2,765.21, 3,815.98 and 1,523.21

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Solution

The fourth proportional to 2,765.21, 3,815.98 and 1,523.21 is: 2,102.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.21 : 3,815.98 = 1,523.21 : x
  2. Step 2: Convert to fraction form
    2,765.21/3,815.98 = 1,523.21/x
  3. Step 3: Cross multiply
    2,765.21x = 3,815.98 × 1,523.21
  4. Step 4: Simplify right side
    2,765.21x = 5,812,521.72
  5. Step 5: Solve for x
    x = 5,812,521.72/2,765.21
  6. Step 6: Final answer
    x = 2,102.02

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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.