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Finding the Fourth Proportional to 7,103.43, 10,656.54 and 2,941.20

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Solution

The fourth proportional to 7,103.43, 10,656.54 and 2,941.20 is: 4,412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.43 : 10,656.54 = 2,941.20 : x
  2. Step 2: Convert to fraction form
    7,103.43/10,656.54 = 2,941.20/x
  3. Step 3: Cross multiply
    7,103.43x = 10,656.54 × 2,941.20
  4. Step 4: Simplify right side
    7,103.43x = 31,343,015.45
  5. Step 5: Solve for x
    x = 31,343,015.45/7,103.43
  6. Step 6: Final answer
    x = 4,412.38

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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.