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Finding the Fourth Proportional to 15,725, 21,705.38 and 10,136

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Solution

The fourth proportional to 15,725, 21,705.38 and 10,136 is: 13,990.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,725 : 21,705.38 = 10,136 : x
  2. Step 2: Convert to fraction form
    15,725/21,705.38 = 10,136/x
  3. Step 3: Cross multiply
    15,725x = 21,705.38 × 10,136
  4. Step 4: Simplify right side
    15,725x = 220,005,731.68
  5. Step 5: Solve for x
    x = 220,005,731.68/15,725
  6. Step 6: Final answer
    x = 13,990.83

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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.