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Finding the Fourth Proportional to 7,343.81, 10,135.07 and 4,200.61

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Solution

The fourth proportional to 7,343.81, 10,135.07 and 4,200.61 is: 5,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343.81 : 10,135.07 = 4,200.61 : x
  2. Step 2: Convert to fraction form
    7,343.81/10,135.07 = 4,200.61/x
  3. Step 3: Cross multiply
    7,343.81x = 10,135.07 × 4,200.61
  4. Step 4: Simplify right side
    7,343.81x = 42,573,445.80
  5. Step 5: Solve for x
    x = 42,573,445.80/7,343.81
  6. Step 6: Final answer
    x = 5,797.19

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