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Finding the Fourth Proportional to 27,309, 40,970 and 8,841

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Solution

The fourth proportional to 27,309, 40,970 and 8,841 is: 13,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,309 : 40,970 = 8,841 : x
  2. Step 2: Convert to fraction form
    27,309/40,970 = 8,841/x
  3. Step 3: Cross multiply
    27,309x = 40,970 × 8,841
  4. Step 4: Simplify right side
    27,309x = 362,215,770
  5. Step 5: Solve for x
    x = 362,215,770/27,309
  6. Step 6: Final answer
    x = 13,263.60

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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.