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Finding the Fourth Proportional to 2,577.78, 3,866.67 and 846

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Solution

The fourth proportional to 2,577.78, 3,866.67 and 846 is: 1,269.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.78 : 3,866.67 = 846 : x
  2. Step 2: Convert to fraction form
    2,577.78/3,866.67 = 846/x
  3. Step 3: Cross multiply
    2,577.78x = 3,866.67 × 846
  4. Step 4: Simplify right side
    2,577.78x = 3,271,202.82
  5. Step 5: Solve for x
    x = 3,271,202.82/2,577.78
  6. Step 6: Final answer
    x = 1,269.00

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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.