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Finding the Fourth Proportional to 16,642.08, 22,965.12 and 9,190.08

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Solution

The fourth proportional to 16,642.08, 22,965.12 and 9,190.08 is: 12,681.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.08 : 22,965.12 = 9,190.08 : x
  2. Step 2: Convert to fraction form
    16,642.08/22,965.12 = 9,190.08/x
  3. Step 3: Cross multiply
    16,642.08x = 22,965.12 × 9,190.08
  4. Step 4: Simplify right side
    16,642.08x = 211,051,290.01
  5. Step 5: Solve for x
    x = 211,051,290.01/16,642.08
  6. Step 6: Final answer
    x = 12,681.79

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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.