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Finding the Fourth Proportional to 12,643.16, 17,453.12 and 8,169.08

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Solution

The fourth proportional to 12,643.16, 17,453.12 and 8,169.08 is: 11,276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.16 : 17,453.12 = 8,169.08 : x
  2. Step 2: Convert to fraction form
    12,643.16/17,453.12 = 8,169.08/x
  3. Step 3: Cross multiply
    12,643.16x = 17,453.12 × 8,169.08
  4. Step 4: Simplify right side
    12,643.16x = 142,575,805.42
  5. Step 5: Solve for x
    x = 142,575,805.42/12,643.16
  6. Step 6: Final answer
    x = 11,276.92

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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.