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Finding the Fourth Proportional to 7,096.52, 9,792.81 and 3,952.50

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Solution

The fourth proportional to 7,096.52, 9,792.81 and 3,952.50 is: 5,454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.52 : 9,792.81 = 3,952.50 : x
  2. Step 2: Convert to fraction form
    7,096.52/9,792.81 = 3,952.50/x
  3. Step 3: Cross multiply
    7,096.52x = 9,792.81 × 3,952.50
  4. Step 4: Simplify right side
    7,096.52x = 38,706,081.53
  5. Step 5: Solve for x
    x = 38,706,081.53/7,096.52
  6. Step 6: Final answer
    x = 5,454.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.