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Finding the Fourth Proportional to 7,157, 10,736.04 and 2,540

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Solution

The fourth proportional to 7,157, 10,736.04 and 2,540 is: 3,810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157 : 10,736.04 = 2,540 : x
  2. Step 2: Convert to fraction form
    7,157/10,736.04 = 2,540/x
  3. Step 3: Cross multiply
    7,157x = 10,736.04 × 2,540
  4. Step 4: Simplify right side
    7,157x = 27,269,541.60
  5. Step 5: Solve for x
    x = 27,269,541.60/7,157
  6. Step 6: Final answer
    x = 3,810.19

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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.