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Finding the Fourth Proportional to 2,842.71, 4,256.24 and 2,147.24

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Solution

The fourth proportional to 2,842.71, 4,256.24 and 2,147.24 is: 3,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.71 : 4,256.24 = 2,147.24 : x
  2. Step 2: Convert to fraction form
    2,842.71/4,256.24 = 2,147.24/x
  3. Step 3: Cross multiply
    2,842.71x = 4,256.24 × 2,147.24
  4. Step 4: Simplify right side
    2,842.71x = 9,139,136.76
  5. Step 5: Solve for x
    x = 9,139,136.76/2,842.71
  6. Step 6: Final answer
    x = 3,214.94

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1.5x scale

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.