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Finding the Fourth Proportional to 13,897.34, 20,851.94 and 9,219

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Solution

The fourth proportional to 13,897.34, 20,851.94 and 9,219 is: 13,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.34 : 20,851.94 = 9,219 : x
  2. Step 2: Convert to fraction form
    13,897.34/20,851.94 = 9,219/x
  3. Step 3: Cross multiply
    13,897.34x = 20,851.94 × 9,219
  4. Step 4: Simplify right side
    13,897.34x = 192,234,034.86
  5. Step 5: Solve for x
    x = 192,234,034.86/13,897.34
  6. Step 6: Final answer
    x = 13,832.43

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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.