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Finding the Fourth Proportional to 21,927, 30,259.74 and 11,991

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Solution

The fourth proportional to 21,927, 30,259.74 and 11,991 is: 16,547.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,927 : 30,259.74 = 11,991 : x
  2. Step 2: Convert to fraction form
    21,927/30,259.74 = 11,991/x
  3. Step 3: Cross multiply
    21,927x = 30,259.74 × 11,991
  4. Step 4: Simplify right side
    21,927x = 362,844,542.34
  5. Step 5: Solve for x
    x = 362,844,542.34/21,927
  6. Step 6: Final answer
    x = 16,547.84

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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.