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Finding the Fourth Proportional to 16,515.99, 22,784.63 and 9,801.90

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Solution

The fourth proportional to 16,515.99, 22,784.63 and 9,801.90 is: 13,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,515.99 : 22,784.63 = 9,801.90 : x
  2. Step 2: Convert to fraction form
    16,515.99/22,784.63 = 9,801.90/x
  3. Step 3: Cross multiply
    16,515.99x = 22,784.63 × 9,801.90
  4. Step 4: Simplify right side
    16,515.99x = 223,332,615.79
  5. Step 5: Solve for x
    x = 223,332,615.79/16,515.99
  6. Step 6: Final answer
    x = 13,522.21

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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.