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Finding the Fourth Proportional to 21,890, 30,209.82 and 12,461.60

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Solution

The fourth proportional to 21,890, 30,209.82 and 12,461.60 is: 17,197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,890 : 30,209.82 = 12,461.60 : x
  2. Step 2: Convert to fraction form
    21,890/30,209.82 = 12,461.60/x
  3. Step 3: Cross multiply
    21,890x = 30,209.82 × 12,461.60
  4. Step 4: Simplify right side
    21,890x = 376,462,692.91
  5. Step 5: Solve for x
    x = 376,462,692.91/21,890
  6. Step 6: Final answer
    x = 17,197.93

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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.