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Finding the Fourth Proportional to 5,735.75, 7,916.64 and 3,378.65

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Solution

The fourth proportional to 5,735.75, 7,916.64 and 3,378.65 is: 4,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.75 : 7,916.64 = 3,378.65 : x
  2. Step 2: Convert to fraction form
    5,735.75/7,916.64 = 3,378.65/x
  3. Step 3: Cross multiply
    5,735.75x = 7,916.64 × 3,378.65
  4. Step 4: Simplify right side
    5,735.75x = 26,747,555.74
  5. Step 5: Solve for x
    x = 26,747,555.74/5,735.75
  6. Step 6: Final answer
    x = 4,663.31

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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.