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Finding the Fourth Proportional to 12,744, 17,586.72 and 7,155

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Solution

The fourth proportional to 12,744, 17,586.72 and 7,155 is: 9,873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744 : 17,586.72 = 7,155 : x
  2. Step 2: Convert to fraction form
    12,744/17,586.72 = 7,155/x
  3. Step 3: Cross multiply
    12,744x = 17,586.72 × 7,155
  4. Step 4: Simplify right side
    12,744x = 125,832,981.60
  5. Step 5: Solve for x
    x = 125,832,981.60/12,744
  6. Step 6: Final answer
    x = 9,873.90

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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.