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Finding the Fourth Proportional to 21,738.57, 32,608.02 and 7,698.65

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Solution

The fourth proportional to 21,738.57, 32,608.02 and 7,698.65 is: 11,548.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,738.57 : 32,608.02 = 7,698.65 : x
  2. Step 2: Convert to fraction form
    21,738.57/32,608.02 = 7,698.65/x
  3. Step 3: Cross multiply
    21,738.57x = 32,608.02 × 7,698.65
  4. Step 4: Simplify right side
    21,738.57x = 251,037,733.17
  5. Step 5: Solve for x
    x = 251,037,733.17/21,738.57
  6. Step 6: Final answer
    x = 11,548.03

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1.5x scale

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.