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Finding the Fourth Proportional to 1,876.83, 2,799.12 and 1,778.42

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Solution

The fourth proportional to 1,876.83, 2,799.12 and 1,778.42 is: 2,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.83 : 2,799.12 = 1,778.42 : x
  2. Step 2: Convert to fraction form
    1,876.83/2,799.12 = 1,778.42/x
  3. Step 3: Cross multiply
    1,876.83x = 2,799.12 × 1,778.42
  4. Step 4: Simplify right side
    1,876.83x = 4,977,996.99
  5. Step 5: Solve for x
    x = 4,977,996.99/1,876.83
  6. Step 6: Final answer
    x = 2,652.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.