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Finding the Fourth Proportional to 21,824.94, 30,118.42 and 11,888.94

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Solution

The fourth proportional to 21,824.94, 30,118.42 and 11,888.94 is: 16,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.94 : 30,118.42 = 11,888.94 : x
  2. Step 2: Convert to fraction form
    21,824.94/30,118.42 = 11,888.94/x
  3. Step 3: Cross multiply
    21,824.94x = 30,118.42 × 11,888.94
  4. Step 4: Simplify right side
    21,824.94x = 358,076,028.83
  5. Step 5: Solve for x
    x = 358,076,028.83/21,824.94
  6. Step 6: Final answer
    x = 16,406.74

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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.