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Finding the Fourth Proportional to 16,643.12, 22,967.64 and 9,191.12

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Solution

The fourth proportional to 16,643.12, 22,967.64 and 9,191.12 is: 12,683.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.12 : 22,967.64 = 9,191.12 : x
  2. Step 2: Convert to fraction form
    16,643.12/22,967.64 = 9,191.12/x
  3. Step 3: Cross multiply
    16,643.12x = 22,967.64 × 9,191.12
  4. Step 4: Simplify right side
    16,643.12x = 211,098,335.36
  5. Step 5: Solve for x
    x = 211,098,335.36/16,643.12
  6. Step 6: Final answer
    x = 12,683.82

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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.