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Finding the Fourth Proportional to 7,154.40, 10,731.24 and 1,960.32

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Solution

The fourth proportional to 7,154.40, 10,731.24 and 1,960.32 is: 2,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.40 : 10,731.24 = 1,960.32 : x
  2. Step 2: Convert to fraction form
    7,154.40/10,731.24 = 1,960.32/x
  3. Step 3: Cross multiply
    7,154.40x = 10,731.24 × 1,960.32
  4. Step 4: Simplify right side
    7,154.40x = 21,036,664.40
  5. Step 5: Solve for x
    x = 21,036,664.40/7,154.40
  6. Step 6: Final answer
    x = 2,940.38

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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.