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Finding the Fourth Proportional to 26,306.80, 36,306 and 15,696.40

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Solution

The fourth proportional to 26,306.80, 36,306 and 15,696.40 is: 21,662.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,306.80 : 36,306 = 15,696.40 : x
  2. Step 2: Convert to fraction form
    26,306.80/36,306 = 15,696.40/x
  3. Step 3: Cross multiply
    26,306.80x = 36,306 × 15,696.40
  4. Step 4: Simplify right side
    26,306.80x = 569,873,498.40
  5. Step 5: Solve for x
    x = 569,873,498.40/26,306.80
  6. Step 6: Final answer
    x = 21,662.59

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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.