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Finding the Fourth Proportional to 21,136, 31,706.16 and 7,285

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Solution

The fourth proportional to 21,136, 31,706.16 and 7,285 is: 10,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,136 : 31,706.16 = 7,285 : x
  2. Step 2: Convert to fraction form
    21,136/31,706.16 = 7,285/x
  3. Step 3: Cross multiply
    21,136x = 31,706.16 × 7,285
  4. Step 4: Simplify right side
    21,136x = 230,979,375.60
  5. Step 5: Solve for x
    x = 230,979,375.60/21,136
  6. Step 6: Final answer
    x = 10,928.24

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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.