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Finding the Fourth Proportional to 15,752.70, 21,738.60 and 8,678.70

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Solution

The fourth proportional to 15,752.70, 21,738.60 and 8,678.70 is: 11,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.70 : 21,738.60 = 8,678.70 : x
  2. Step 2: Convert to fraction form
    15,752.70/21,738.60 = 8,678.70/x
  3. Step 3: Cross multiply
    15,752.70x = 21,738.60 × 8,678.70
  4. Step 4: Simplify right side
    15,752.70x = 188,662,787.82
  5. Step 5: Solve for x
    x = 188,662,787.82/15,752.70
  6. Step 6: Final answer
    x = 11,976.54

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1.5x scale

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.