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Finding the Fourth Proportional to 1,555.69, 2,145.94 and 995.96

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Solution

The fourth proportional to 1,555.69, 2,145.94 and 995.96 is: 1,373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.69 : 2,145.94 = 995.96 : x
  2. Step 2: Convert to fraction form
    1,555.69/2,145.94 = 995.96/x
  3. Step 3: Cross multiply
    1,555.69x = 2,145.94 × 995.96
  4. Step 4: Simplify right side
    1,555.69x = 2,137,263.52
  5. Step 5: Solve for x
    x = 2,137,263.52/1,555.69
  6. Step 6: Final answer
    x = 1,373.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.