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Finding the Fourth Proportional to 2,591.80, 3,888.42 and 860.56

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Solution

The fourth proportional to 2,591.80, 3,888.42 and 860.56 is: 1,291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.80 : 3,888.42 = 860.56 : x
  2. Step 2: Convert to fraction form
    2,591.80/3,888.42 = 860.56/x
  3. Step 3: Cross multiply
    2,591.80x = 3,888.42 × 860.56
  4. Step 4: Simplify right side
    2,591.80x = 3,346,218.72
  5. Step 5: Solve for x
    x = 3,346,218.72/2,591.80
  6. Step 6: Final answer
    x = 1,291.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.