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Finding the Fourth Proportional to 3,470.49, 4,788.45 and 1,978.47

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Solution

The fourth proportional to 3,470.49, 4,788.45 and 1,978.47 is: 2,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.49 : 4,788.45 = 1,978.47 : x
  2. Step 2: Convert to fraction form
    3,470.49/4,788.45 = 1,978.47/x
  3. Step 3: Cross multiply
    3,470.49x = 4,788.45 × 1,978.47
  4. Step 4: Simplify right side
    3,470.49x = 9,473,804.67
  5. Step 5: Solve for x
    x = 9,473,804.67/3,470.49
  6. Step 6: Final answer
    x = 2,729.82

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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.