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Finding the Fourth Proportional to 7,160.19, 10,744.53 and 3,873.21

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Solution

The fourth proportional to 7,160.19, 10,744.53 and 3,873.21 is: 5,812.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.19 : 10,744.53 = 3,873.21 : x
  2. Step 2: Convert to fraction form
    7,160.19/10,744.53 = 3,873.21/x
  3. Step 3: Cross multiply
    7,160.19x = 10,744.53 × 3,873.21
  4. Step 4: Simplify right side
    7,160.19x = 41,615,821.04
  5. Step 5: Solve for x
    x = 41,615,821.04/7,160.19
  6. Step 6: Final answer
    x = 5,812.11

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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.