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Finding the Fourth Proportional to 16,643.63, 22,968.21 and 9,191.63

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Solution

The fourth proportional to 16,643.63, 22,968.21 and 9,191.63 is: 12,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.63 : 22,968.21 = 9,191.63 : x
  2. Step 2: Convert to fraction form
    16,643.63/22,968.21 = 9,191.63/x
  3. Step 3: Cross multiply
    16,643.63x = 22,968.21 × 9,191.63
  4. Step 4: Simplify right side
    16,643.63x = 211,115,173.24
  5. Step 5: Solve for x
    x = 211,115,173.24/16,643.63
  6. Step 6: Final answer
    x = 12,684.45

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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.