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Finding the Fourth Proportional to 2,320.85, 3,481.74 and 860.01

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Solution

The fourth proportional to 2,320.85, 3,481.74 and 860.01 is: 1,290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.85 : 3,481.74 = 860.01 : x
  2. Step 2: Convert to fraction form
    2,320.85/3,481.74 = 860.01/x
  3. Step 3: Cross multiply
    2,320.85x = 3,481.74 × 860.01
  4. Step 4: Simplify right side
    2,320.85x = 2,994,331.22
  5. Step 5: Solve for x
    x = 2,994,331.22/2,320.85
  6. Step 6: Final answer
    x = 1,290.19

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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.