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Finding the Fourth Proportional to 4,670.78, 7,007.42 and 1,899.38

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Solution

The fourth proportional to 4,670.78, 7,007.42 and 1,899.38 is: 2,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.78 : 7,007.42 = 1,899.38 : x
  2. Step 2: Convert to fraction form
    4,670.78/7,007.42 = 1,899.38/x
  3. Step 3: Cross multiply
    4,670.78x = 7,007.42 × 1,899.38
  4. Step 4: Simplify right side
    4,670.78x = 13,309,708.87
  5. Step 5: Solve for x
    x = 13,309,708.87/4,670.78
  6. Step 6: Final answer
    x = 2,849.57

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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.