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Finding the Fourth Proportional to 19,136.34, 28,677.78 and 9,273

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Solution

The fourth proportional to 19,136.34, 28,677.78 and 9,273 is: 13,896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,136.34 : 28,677.78 = 9,273 : x
  2. Step 2: Convert to fraction form
    19,136.34/28,677.78 = 9,273/x
  3. Step 3: Cross multiply
    19,136.34x = 28,677.78 × 9,273
  4. Step 4: Simplify right side
    19,136.34x = 265,929,053.94
  5. Step 5: Solve for x
    x = 265,929,053.94/19,136.34
  6. Step 6: Final answer
    x = 13,896.55

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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.