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Finding the Fourth Proportional to 21,949, 30,289.64 and 12,013

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Solution

The fourth proportional to 21,949, 30,289.64 and 12,013 is: 16,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,949 : 30,289.64 = 12,013 : x
  2. Step 2: Convert to fraction form
    21,949/30,289.64 = 12,013/x
  3. Step 3: Cross multiply
    21,949x = 30,289.64 × 12,013
  4. Step 4: Simplify right side
    21,949x = 363,869,445.32
  5. Step 5: Solve for x
    x = 363,869,445.32/21,949
  6. Step 6: Final answer
    x = 16,577.95

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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.