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Finding the Fourth Proportional to 26,809.76, 40,200 and 11,215.68

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Solution

The fourth proportional to 26,809.76, 40,200 and 11,215.68 is: 16,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,809.76 : 40,200 = 11,215.68 : x
  2. Step 2: Convert to fraction form
    26,809.76/40,200 = 11,215.68/x
  3. Step 3: Cross multiply
    26,809.76x = 40,200 × 11,215.68
  4. Step 4: Simplify right side
    26,809.76x = 450,870,336
  5. Step 5: Solve for x
    x = 450,870,336/26,809.76
  6. Step 6: Final answer
    x = 16,817.40

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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.