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Finding the Fourth Proportional to 26,536.68, 39,809.00 and 8,769.20

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Solution

The fourth proportional to 26,536.68, 39,809.00 and 8,769.20 is: 13,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,536.68 : 39,809.00 = 8,769.20 : x
  2. Step 2: Convert to fraction form
    26,536.68/39,809.00 = 8,769.20/x
  3. Step 3: Cross multiply
    26,536.68x = 39,809.00 × 8,769.20
  4. Step 4: Simplify right side
    26,536.68x = 349,092,905.68
  5. Step 5: Solve for x
    x = 349,092,905.68/26,536.68
  6. Step 6: Final answer
    x = 13,155.11

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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.