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Finding the Fourth Proportional to 2,143, 3,214.50 and 775

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Solution

The fourth proportional to 2,143, 3,214.50 and 775 is: 1,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143 : 3,214.50 = 775 : x
  2. Step 2: Convert to fraction form
    2,143/3,214.50 = 775/x
  3. Step 3: Cross multiply
    2,143x = 3,214.50 × 775
  4. Step 4: Simplify right side
    2,143x = 2,491,237.50
  5. Step 5: Solve for x
    x = 2,491,237.50/2,143
  6. Step 6: Final answer
    x = 1,162.50

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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.