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Finding the Fourth Proportional to 21,899.50, 30,221.43 and 11,963.50

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Solution

The fourth proportional to 21,899.50, 30,221.43 and 11,963.50 is: 16,509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,899.50 : 30,221.43 = 11,963.50 : x
  2. Step 2: Convert to fraction form
    21,899.50/30,221.43 = 11,963.50/x
  3. Step 3: Cross multiply
    21,899.50x = 30,221.43 × 11,963.50
  4. Step 4: Simplify right side
    21,899.50x = 361,554,077.81
  5. Step 5: Solve for x
    x = 361,554,077.81/21,899.50
  6. Step 6: Final answer
    x = 16,509.70

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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.