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Finding the Fourth Proportional to 18,653.49, 27,970.73 and 9,166.44

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Solution

The fourth proportional to 18,653.49, 27,970.73 and 9,166.44 is: 13,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,653.49 : 27,970.73 = 9,166.44 : x
  2. Step 2: Convert to fraction form
    18,653.49/27,970.73 = 9,166.44/x
  3. Step 3: Cross multiply
    18,653.49x = 27,970.73 × 9,166.44
  4. Step 4: Simplify right side
    18,653.49x = 256,391,832.62
  5. Step 5: Solve for x
    x = 256,391,832.62/18,653.49
  6. Step 6: Final answer
    x = 13,744.98

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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.