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Finding the Fourth Proportional to 7,443, 10,271.46 and 4,086.12

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Solution

The fourth proportional to 7,443, 10,271.46 and 4,086.12 is: 5,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443 : 10,271.46 = 4,086.12 : x
  2. Step 2: Convert to fraction form
    7,443/10,271.46 = 4,086.12/x
  3. Step 3: Cross multiply
    7,443x = 10,271.46 × 4,086.12
  4. Step 4: Simplify right side
    7,443x = 41,970,418.14
  5. Step 5: Solve for x
    x = 41,970,418.14/7,443
  6. Step 6: Final answer
    x = 5,638.91

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.