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Finding the Fourth Proportional to 12,376.77, 17,079.92 and 7,071.47

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Solution

The fourth proportional to 12,376.77, 17,079.92 and 7,071.47 is: 9,758.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.77 : 17,079.92 = 7,071.47 : x
  2. Step 2: Convert to fraction form
    12,376.77/17,079.92 = 7,071.47/x
  3. Step 3: Cross multiply
    12,376.77x = 17,079.92 × 7,071.47
  4. Step 4: Simplify right side
    12,376.77x = 120,780,021.13
  5. Step 5: Solve for x
    x = 120,780,021.13/12,376.77
  6. Step 6: Final answer
    x = 9,758.61

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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.