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Finding the Fourth Proportional to 3,471.02, 4,788.60 and 1,978.66

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Solution

The fourth proportional to 3,471.02, 4,788.60 and 1,978.66 is: 2,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.02 : 4,788.60 = 1,978.66 : x
  2. Step 2: Convert to fraction form
    3,471.02/4,788.60 = 1,978.66/x
  3. Step 3: Cross multiply
    3,471.02x = 4,788.60 × 1,978.66
  4. Step 4: Simplify right side
    3,471.02x = 9,475,011.28
  5. Step 5: Solve for x
    x = 9,475,011.28/3,471.02
  6. Step 6: Final answer
    x = 2,729.75

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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.