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Finding the Fourth Proportional to 11,902.34, 17,897.25 and 11,421.20

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Solution

The fourth proportional to 11,902.34, 17,897.25 and 11,421.20 is: 17,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.34 : 17,897.25 = 11,421.20 : x
  2. Step 2: Convert to fraction form
    11,902.34/17,897.25 = 11,421.20/x
  3. Step 3: Cross multiply
    11,902.34x = 17,897.25 × 11,421.20
  4. Step 4: Simplify right side
    11,902.34x = 204,408,159.27
  5. Step 5: Solve for x
    x = 204,408,159.27/11,902.34
  6. Step 6: Final answer
    x = 17,173.78

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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.