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Finding the Fourth Proportional to 1,879.80, 2,818.56 and 783.60

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Solution

The fourth proportional to 1,879.80, 2,818.56 and 783.60 is: 1,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.80 : 2,818.56 = 783.60 : x
  2. Step 2: Convert to fraction form
    1,879.80/2,818.56 = 783.60/x
  3. Step 3: Cross multiply
    1,879.80x = 2,818.56 × 783.60
  4. Step 4: Simplify right side
    1,879.80x = 2,208,623.62
  5. Step 5: Solve for x
    x = 2,208,623.62/1,879.80
  6. Step 6: Final answer
    x = 1,174.92

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1.5x scale

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.