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Finding the Fourth Proportional to 1,743.23, 2,615.63 and 819.06

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Solution

The fourth proportional to 1,743.23, 2,615.63 and 819.06 is: 1,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.23 : 2,615.63 = 819.06 : x
  2. Step 2: Convert to fraction form
    1,743.23/2,615.63 = 819.06/x
  3. Step 3: Cross multiply
    1,743.23x = 2,615.63 × 819.06
  4. Step 4: Simplify right side
    1,743.23x = 2,142,353.81
  5. Step 5: Solve for x
    x = 2,142,353.81/1,743.23
  6. Step 6: Final answer
    x = 1,228.96

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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.