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Finding the Fourth Proportional to 23,008, 34,512.64 and 7,427.20

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Solution

The fourth proportional to 23,008, 34,512.64 and 7,427.20 is: 11,141.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,008 : 34,512.64 = 7,427.20 : x
  2. Step 2: Convert to fraction form
    23,008/34,512.64 = 7,427.20/x
  3. Step 3: Cross multiply
    23,008x = 34,512.64 × 7,427.20
  4. Step 4: Simplify right side
    23,008x = 256,332,279.81
  5. Step 5: Solve for x
    x = 256,332,279.81/23,008
  6. Step 6: Final answer
    x = 11,141.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.