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Finding the Fourth Proportional to 12,971.76, 17,901 and 7,382.76

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Solution

The fourth proportional to 12,971.76, 17,901 and 7,382.76 is: 10,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.76 : 17,901 = 7,382.76 : x
  2. Step 2: Convert to fraction form
    12,971.76/17,901 = 7,382.76/x
  3. Step 3: Cross multiply
    12,971.76x = 17,901 × 7,382.76
  4. Step 4: Simplify right side
    12,971.76x = 132,158,786.76
  5. Step 5: Solve for x
    x = 132,158,786.76/12,971.76
  6. Step 6: Final answer
    x = 10,188.19

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Half scale
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Double scale
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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.