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Finding the Fourth Proportional to 7,346.41, 10,138.05 and 4,159.67

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Solution

The fourth proportional to 7,346.41, 10,138.05 and 4,159.67 is: 5,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.41 : 10,138.05 = 4,159.67 : x
  2. Step 2: Convert to fraction form
    7,346.41/10,138.05 = 4,159.67/x
  3. Step 3: Cross multiply
    7,346.41x = 10,138.05 × 4,159.67
  4. Step 4: Simplify right side
    7,346.41x = 42,170,891.75
  5. Step 5: Solve for x
    x = 42,170,891.75/7,346.41
  6. Step 6: Final answer
    x = 5,740.34

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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.