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Finding the Fourth Proportional to 4,814, 7,223.88 and 2,078

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Solution

The fourth proportional to 4,814, 7,223.88 and 2,078 is: 3,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814 : 7,223.88 = 2,078 : x
  2. Step 2: Convert to fraction form
    4,814/7,223.88 = 2,078/x
  3. Step 3: Cross multiply
    4,814x = 7,223.88 × 2,078
  4. Step 4: Simplify right side
    4,814x = 15,011,222.64
  5. Step 5: Solve for x
    x = 15,011,222.64/4,814
  6. Step 6: Final answer
    x = 3,118.24

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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.