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Finding the Fourth Proportional to 7,571.70, 11,369.70 and 5,117.40

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Solution

The fourth proportional to 7,571.70, 11,369.70 and 5,117.40 is: 7,684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.70 : 11,369.70 = 5,117.40 : x
  2. Step 2: Convert to fraction form
    7,571.70/11,369.70 = 5,117.40/x
  3. Step 3: Cross multiply
    7,571.70x = 11,369.70 × 5,117.40
  4. Step 4: Simplify right side
    7,571.70x = 58,183,302.78
  5. Step 5: Solve for x
    x = 58,183,302.78/7,571.70
  6. Step 6: Final answer
    x = 7,684.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.