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Finding the Fourth Proportional to 21,919, 30,248.70 and 11,983

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Solution

The fourth proportional to 21,919, 30,248.70 and 11,983 is: 16,536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,919 : 30,248.70 = 11,983 : x
  2. Step 2: Convert to fraction form
    21,919/30,248.70 = 11,983/x
  3. Step 3: Cross multiply
    21,919x = 30,248.70 × 11,983
  4. Step 4: Simplify right side
    21,919x = 362,470,172.10
  5. Step 5: Solve for x
    x = 362,470,172.10/21,919
  6. Step 6: Final answer
    x = 16,536.80

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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.