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Finding the Fourth Proportional to 2,142.65, 3,214.43 and 681.77

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Solution

The fourth proportional to 2,142.65, 3,214.43 and 681.77 is: 1,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.65 : 3,214.43 = 681.77 : x
  2. Step 2: Convert to fraction form
    2,142.65/3,214.43 = 681.77/x
  3. Step 3: Cross multiply
    2,142.65x = 3,214.43 × 681.77
  4. Step 4: Simplify right side
    2,142.65x = 2,191,501.94
  5. Step 5: Solve for x
    x = 2,191,501.94/2,142.65
  6. Step 6: Final answer
    x = 1,022.80

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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.