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Finding the Fourth Proportional to 2,860.41, 4,290.73 and 885.87

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Solution

The fourth proportional to 2,860.41, 4,290.73 and 885.87 is: 1,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.41 : 4,290.73 = 885.87 : x
  2. Step 2: Convert to fraction form
    2,860.41/4,290.73 = 885.87/x
  3. Step 3: Cross multiply
    2,860.41x = 4,290.73 × 885.87
  4. Step 4: Simplify right side
    2,860.41x = 3,801,023.95
  5. Step 5: Solve for x
    x = 3,801,023.95/2,860.41
  6. Step 6: Final answer
    x = 1,328.84

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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.