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Finding the Fourth Proportional to 4,653.80, 6,978.96 and 1,879.76

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Solution

The fourth proportional to 4,653.80, 6,978.96 and 1,879.76 is: 2,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.80 : 6,978.96 = 1,879.76 : x
  2. Step 2: Convert to fraction form
    4,653.80/6,978.96 = 1,879.76/x
  3. Step 3: Cross multiply
    4,653.80x = 6,978.96 × 1,879.76
  4. Step 4: Simplify right side
    4,653.80x = 13,118,769.85
  5. Step 5: Solve for x
    x = 13,118,769.85/4,653.80
  6. Step 6: Final answer
    x = 2,818.94

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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.