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Finding the Fourth Proportional to 21,494.65, 32,222.53 and 7,640.41

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Solution

The fourth proportional to 21,494.65, 32,222.53 and 7,640.41 is: 11,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494.65 : 32,222.53 = 7,640.41 : x
  2. Step 2: Convert to fraction form
    21,494.65/32,222.53 = 7,640.41/x
  3. Step 3: Cross multiply
    21,494.65x = 32,222.53 × 7,640.41
  4. Step 4: Simplify right side
    21,494.65x = 246,193,340.44
  5. Step 5: Solve for x
    x = 246,193,340.44/21,494.65
  6. Step 6: Final answer
    x = 11,453.70

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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.