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Finding the Fourth Proportional to 1,341.82, 2,009.96 and 995.55

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Solution

The fourth proportional to 1,341.82, 2,009.96 and 995.55 is: 1,491.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.82 : 2,009.96 = 995.55 : x
  2. Step 2: Convert to fraction form
    1,341.82/2,009.96 = 995.55/x
  3. Step 3: Cross multiply
    1,341.82x = 2,009.96 × 995.55
  4. Step 4: Simplify right side
    1,341.82x = 2,001,006.90
  5. Step 5: Solve for x
    x = 2,001,006.90/1,341.82
  6. Step 6: Final answer
    x = 1,491.26

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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.