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Finding the Fourth Proportional to 7,471.57, 10,310.39 and 4,113.74

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Solution

The fourth proportional to 7,471.57, 10,310.39 and 4,113.74 is: 5,676.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.57 : 10,310.39 = 4,113.74 : x
  2. Step 2: Convert to fraction form
    7,471.57/10,310.39 = 4,113.74/x
  3. Step 3: Cross multiply
    7,471.57x = 10,310.39 × 4,113.74
  4. Step 4: Simplify right side
    7,471.57x = 42,414,263.76
  5. Step 5: Solve for x
    x = 42,414,263.76/7,471.57
  6. Step 6: Final answer
    x = 5,676.75

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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.