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Finding the Fourth Proportional to 4,830.78, 7,245.96 and 1,368

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Solution

The fourth proportional to 4,830.78, 7,245.96 and 1,368 is: 2,051.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.78 : 7,245.96 = 1,368 : x
  2. Step 2: Convert to fraction form
    4,830.78/7,245.96 = 1,368/x
  3. Step 3: Cross multiply
    4,830.78x = 7,245.96 × 1,368
  4. Step 4: Simplify right side
    4,830.78x = 9,912,473.28
  5. Step 5: Solve for x
    x = 9,912,473.28/4,830.78
  6. Step 6: Final answer
    x = 2,051.94

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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.