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Finding the Fourth Proportional to 12,712.86, 17,549.37 and 8,182.08

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Solution

The fourth proportional to 12,712.86, 17,549.37 and 8,182.08 is: 11,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.86 : 17,549.37 = 8,182.08 : x
  2. Step 2: Convert to fraction form
    12,712.86/17,549.37 = 8,182.08/x
  3. Step 3: Cross multiply
    12,712.86x = 17,549.37 × 8,182.08
  4. Step 4: Simplify right side
    12,712.86x = 143,590,349.29
  5. Step 5: Solve for x
    x = 143,590,349.29/12,712.86
  6. Step 6: Final answer
    x = 11,294.89

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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.