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Finding the Fourth Proportional to 3,470.99, 4,790.24 and 1,978.56

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Solution

The fourth proportional to 3,470.99, 4,790.24 and 1,978.56 is: 2,730.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.99 : 4,790.24 = 1,978.56 : x
  2. Step 2: Convert to fraction form
    3,470.99/4,790.24 = 1,978.56/x
  3. Step 3: Cross multiply
    3,470.99x = 4,790.24 × 1,978.56
  4. Step 4: Simplify right side
    3,470.99x = 9,477,767.36
  5. Step 5: Solve for x
    x = 9,477,767.36/3,470.99
  6. Step 6: Final answer
    x = 2,730.57

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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.