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Finding the Fourth Proportional to 12,842.08, 17,722.08 and 7,805.84

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Solution

The fourth proportional to 12,842.08, 17,722.08 and 7,805.84 is: 10,772.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.08 : 17,722.08 = 7,805.84 : x
  2. Step 2: Convert to fraction form
    12,842.08/17,722.08 = 7,805.84/x
  3. Step 3: Cross multiply
    12,842.08x = 17,722.08 × 7,805.84
  4. Step 4: Simplify right side
    12,842.08x = 138,335,720.95
  5. Step 5: Solve for x
    x = 138,335,720.95/12,842.08
  6. Step 6: Final answer
    x = 10,772.07

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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.