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Finding the Fourth Proportional to 26,278, 36,263.64 and 16,859.32

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Solution

The fourth proportional to 26,278, 36,263.64 and 16,859.32 is: 23,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,278 : 36,263.64 = 16,859.32 : x
  2. Step 2: Convert to fraction form
    26,278/36,263.64 = 16,859.32/x
  3. Step 3: Cross multiply
    26,278x = 36,263.64 × 16,859.32
  4. Step 4: Simplify right side
    26,278x = 611,380,311.12
  5. Step 5: Solve for x
    x = 611,380,311.12/26,278
  6. Step 6: Final answer
    x = 23,265.86

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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.