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Finding the Fourth Proportional to 4,823, 7,234.86 and 2,742.20

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Solution

The fourth proportional to 4,823, 7,234.86 and 2,742.20 is: 4,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823 : 7,234.86 = 2,742.20 : x
  2. Step 2: Convert to fraction form
    4,823/7,234.86 = 2,742.20/x
  3. Step 3: Cross multiply
    4,823x = 7,234.86 × 2,742.20
  4. Step 4: Simplify right side
    4,823x = 19,839,433.09
  5. Step 5: Solve for x
    x = 19,839,433.09/4,823
  6. Step 6: Final answer
    x = 4,113.50

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1.5x scale

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.