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Finding the Fourth Proportional to 7,369.50, 10,169.92 and 4,057.50

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Solution

The fourth proportional to 7,369.50, 10,169.92 and 4,057.50 is: 5,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,369.50 : 10,169.92 = 4,057.50 : x
  2. Step 2: Convert to fraction form
    7,369.50/10,169.92 = 4,057.50/x
  3. Step 3: Cross multiply
    7,369.50x = 10,169.92 × 4,057.50
  4. Step 4: Simplify right side
    7,369.50x = 41,264,450.40
  5. Step 5: Solve for x
    x = 41,264,450.40/7,369.50
  6. Step 6: Final answer
    x = 5,599.36

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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.