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Finding the Fourth Proportional to 13,132, 19,693.74 and 4,364.56

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Solution

The fourth proportional to 13,132, 19,693.74 and 4,364.56 is: 6,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132 : 19,693.74 = 4,364.56 : x
  2. Step 2: Convert to fraction form
    13,132/19,693.74 = 4,364.56/x
  3. Step 3: Cross multiply
    13,132x = 19,693.74 × 4,364.56
  4. Step 4: Simplify right side
    13,132x = 85,954,509.85
  5. Step 5: Solve for x
    x = 85,954,509.85/13,132
  6. Step 6: Final answer
    x = 6,545.42

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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.