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Finding the Fourth Proportional to 1,919.52, 2,879.76 and 1,780.08

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Solution

The fourth proportional to 1,919.52, 2,879.76 and 1,780.08 is: 2,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.52 : 2,879.76 = 1,780.08 : x
  2. Step 2: Convert to fraction form
    1,919.52/2,879.76 = 1,780.08/x
  3. Step 3: Cross multiply
    1,919.52x = 2,879.76 × 1,780.08
  4. Step 4: Simplify right side
    1,919.52x = 5,126,203.18
  5. Step 5: Solve for x
    x = 5,126,203.18/1,919.52
  6. Step 6: Final answer
    x = 2,670.57

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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.