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Finding the Fourth Proportional to 12,046, 18,069 and 7,912.16

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Solution

The fourth proportional to 12,046, 18,069 and 7,912.16 is: 11,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046 : 18,069 = 7,912.16 : x
  2. Step 2: Convert to fraction form
    12,046/18,069 = 7,912.16/x
  3. Step 3: Cross multiply
    12,046x = 18,069 × 7,912.16
  4. Step 4: Simplify right side
    12,046x = 142,964,819.04
  5. Step 5: Solve for x
    x = 142,964,819.04/12,046
  6. Step 6: Final answer
    x = 11,868.24

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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.