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Finding the Fourth Proportional to 12,842.23, 17,724.31 and 7,808.03

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Solution

The fourth proportional to 12,842.23, 17,724.31 and 7,808.03 is: 10,776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.23 : 17,724.31 = 7,808.03 : x
  2. Step 2: Convert to fraction form
    12,842.23/17,724.31 = 7,808.03/x
  3. Step 3: Cross multiply
    12,842.23x = 17,724.31 × 7,808.03
  4. Step 4: Simplify right side
    12,842.23x = 138,391,944.21
  5. Step 5: Solve for x
    x = 138,391,944.21/12,842.23
  6. Step 6: Final answer
    x = 10,776.32

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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.