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Finding the Fourth Proportional to 26,640, 36,763.20 and 15,462

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Solution

The fourth proportional to 26,640, 36,763.20 and 15,462 is: 21,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,640 : 36,763.20 = 15,462 : x
  2. Step 2: Convert to fraction form
    26,640/36,763.20 = 15,462/x
  3. Step 3: Cross multiply
    26,640x = 36,763.20 × 15,462
  4. Step 4: Simplify right side
    26,640x = 568,432,598.40
  5. Step 5: Solve for x
    x = 568,432,598.40/26,640
  6. Step 6: Final answer
    x = 21,337.56

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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.