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Finding the Fourth Proportional to 16,728.76, 23,086.74 and 9,276.76

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Solution

The fourth proportional to 16,728.76, 23,086.74 and 9,276.76 is: 12,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,728.76 : 23,086.74 = 9,276.76 : x
  2. Step 2: Convert to fraction form
    16,728.76/23,086.74 = 9,276.76/x
  3. Step 3: Cross multiply
    16,728.76x = 23,086.74 × 9,276.76
  4. Step 4: Simplify right side
    16,728.76x = 214,170,146.16
  5. Step 5: Solve for x
    x = 214,170,146.16/16,728.76
  6. Step 6: Final answer
    x = 12,802.51

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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.