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Finding the Fourth Proportional to 5,396.57, 7,445.81 and 3,159

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Solution

The fourth proportional to 5,396.57, 7,445.81 and 3,159 is: 4,358.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.57 : 7,445.81 = 3,159 : x
  2. Step 2: Convert to fraction form
    5,396.57/7,445.81 = 3,159/x
  3. Step 3: Cross multiply
    5,396.57x = 7,445.81 × 3,159
  4. Step 4: Simplify right side
    5,396.57x = 23,521,313.79
  5. Step 5: Solve for x
    x = 23,521,313.79/5,396.57
  6. Step 6: Final answer
    x = 4,358.57

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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.