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Finding the Fourth Proportional to 7,154.92, 10,734.72 and 3,643.39

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Solution

The fourth proportional to 7,154.92, 10,734.72 and 3,643.39 is: 5,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.92 : 10,734.72 = 3,643.39 : x
  2. Step 2: Convert to fraction form
    7,154.92/10,734.72 = 3,643.39/x
  3. Step 3: Cross multiply
    7,154.92x = 10,734.72 × 3,643.39
  4. Step 4: Simplify right side
    7,154.92x = 39,110,771.50
  5. Step 5: Solve for x
    x = 39,110,771.50/7,154.92
  6. Step 6: Final answer
    x = 5,466.28

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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.