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Finding the Fourth Proportional to 2,709.21, 4,063.95 and 860.47

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Solution

The fourth proportional to 2,709.21, 4,063.95 and 860.47 is: 1,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.21 : 4,063.95 = 860.47 : x
  2. Step 2: Convert to fraction form
    2,709.21/4,063.95 = 860.47/x
  3. Step 3: Cross multiply
    2,709.21x = 4,063.95 × 860.47
  4. Step 4: Simplify right side
    2,709.21x = 3,496,897.01
  5. Step 5: Solve for x
    x = 3,496,897.01/2,709.21
  6. Step 6: Final answer
    x = 1,290.75

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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.