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Finding the Fourth Proportional to 5,945, 8,917.50 and 1,841

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Solution

The fourth proportional to 5,945, 8,917.50 and 1,841 is: 2,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945 : 8,917.50 = 1,841 : x
  2. Step 2: Convert to fraction form
    5,945/8,917.50 = 1,841/x
  3. Step 3: Cross multiply
    5,945x = 8,917.50 × 1,841
  4. Step 4: Simplify right side
    5,945x = 16,417,117.50
  5. Step 5: Solve for x
    x = 16,417,117.50/5,945
  6. Step 6: Final answer
    x = 2,761.50

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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.