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Finding the Fourth Proportional to 12,664, 19,000.48 and 9,195.20

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Solution

The fourth proportional to 12,664, 19,000.48 and 9,195.20 is: 13,796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664 : 19,000.48 = 9,195.20 : x
  2. Step 2: Convert to fraction form
    12,664/19,000.48 = 9,195.20/x
  3. Step 3: Cross multiply
    12,664x = 19,000.48 × 9,195.20
  4. Step 4: Simplify right side
    12,664x = 174,713,213.70
  5. Step 5: Solve for x
    x = 174,713,213.70/12,664
  6. Step 6: Final answer
    x = 13,796.05

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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.