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Finding the Fourth Proportional to 2,941.35, 4,411.57 and 860.87

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Solution

The fourth proportional to 2,941.35, 4,411.57 and 860.87 is: 1,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941.35 : 4,411.57 = 860.87 : x
  2. Step 2: Convert to fraction form
    2,941.35/4,411.57 = 860.87/x
  3. Step 3: Cross multiply
    2,941.35x = 4,411.57 × 860.87
  4. Step 4: Simplify right side
    2,941.35x = 3,797,775.56
  5. Step 5: Solve for x
    x = 3,797,775.56/2,941.35
  6. Step 6: Final answer
    x = 1,291.17

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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.