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Finding the Fourth Proportional to 12,116.76, 16,717.02 and 7,873.14

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Solution

The fourth proportional to 12,116.76, 16,717.02 and 7,873.14 is: 10,862.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.76 : 16,717.02 = 7,873.14 : x
  2. Step 2: Convert to fraction form
    12,116.76/16,717.02 = 7,873.14/x
  3. Step 3: Cross multiply
    12,116.76x = 16,717.02 × 7,873.14
  4. Step 4: Simplify right side
    12,116.76x = 131,615,438.84
  5. Step 5: Solve for x
    x = 131,615,438.84/12,116.76
  6. Step 6: Final answer
    x = 10,862.26

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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.