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Finding the Fourth Proportional to 21,841.89, 30,141.81 and 11,905.89

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Solution

The fourth proportional to 21,841.89, 30,141.81 and 11,905.89 is: 16,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841.89 : 30,141.81 = 11,905.89 : x
  2. Step 2: Convert to fraction form
    21,841.89/30,141.81 = 11,905.89/x
  3. Step 3: Cross multiply
    21,841.89x = 30,141.81 × 11,905.89
  4. Step 4: Simplify right side
    21,841.89x = 358,865,074.26
  5. Step 5: Solve for x
    x = 358,865,074.26/21,841.89
  6. Step 6: Final answer
    x = 16,430.13

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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.