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Finding the Fourth Proportional to 15,897.69, 21,942.79 and 9,187.21

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Solution

The fourth proportional to 15,897.69, 21,942.79 and 9,187.21 is: 12,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.69 : 21,942.79 = 9,187.21 : x
  2. Step 2: Convert to fraction form
    15,897.69/21,942.79 = 9,187.21/x
  3. Step 3: Cross multiply
    15,897.69x = 21,942.79 × 9,187.21
  4. Step 4: Simplify right side
    15,897.69x = 201,593,019.72
  5. Step 5: Solve for x
    x = 201,593,019.72/15,897.69
  6. Step 6: Final answer
    x = 12,680.65

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1.5x scale

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.