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Finding the Fourth Proportional to 9,639, 14,452.97 and 3,792.42

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Solution

The fourth proportional to 9,639, 14,452.97 and 3,792.42 is: 5,686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639 : 14,452.97 = 3,792.42 : x
  2. Step 2: Convert to fraction form
    9,639/14,452.97 = 3,792.42/x
  3. Step 3: Cross multiply
    9,639x = 14,452.97 × 3,792.42
  4. Step 4: Simplify right side
    9,639x = 54,811,713.53
  5. Step 5: Solve for x
    x = 54,811,713.53/9,639
  6. Step 6: Final answer
    x = 5,686.45

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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.