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Finding the Fourth Proportional to 26,784, 36,966.72 and 18,166.56

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Solution

The fourth proportional to 26,784, 36,966.72 and 18,166.56 is: 25,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,784 : 36,966.72 = 18,166.56 : x
  2. Step 2: Convert to fraction form
    26,784/36,966.72 = 18,166.56/x
  3. Step 3: Cross multiply
    26,784x = 36,966.72 × 18,166.56
  4. Step 4: Simplify right side
    26,784x = 671,558,136.88
  5. Step 5: Solve for x
    x = 671,558,136.88/26,784
  6. Step 6: Final answer
    x = 25,073.11

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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.