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Finding the Fourth Proportional to 3,470.14, 4,788.75 and 1,978.05

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Solution

The fourth proportional to 3,470.14, 4,788.75 and 1,978.05 is: 2,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.14 : 4,788.75 = 1,978.05 : x
  2. Step 2: Convert to fraction form
    3,470.14/4,788.75 = 1,978.05/x
  3. Step 3: Cross multiply
    3,470.14x = 4,788.75 × 1,978.05
  4. Step 4: Simplify right side
    3,470.14x = 9,472,412.31
  5. Step 5: Solve for x
    x = 9,472,412.31/3,470.14
  6. Step 6: Final answer
    x = 2,729.69

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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.