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Finding the Fourth Proportional to 3,762.72, 5,192.10 and 2,644.92

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Solution

The fourth proportional to 3,762.72, 5,192.10 and 2,644.92 is: 3,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.72 : 5,192.10 = 2,644.92 : x
  2. Step 2: Convert to fraction form
    3,762.72/5,192.10 = 2,644.92/x
  3. Step 3: Cross multiply
    3,762.72x = 5,192.10 × 2,644.92
  4. Step 4: Simplify right side
    3,762.72x = 13,732,689.13
  5. Step 5: Solve for x
    x = 13,732,689.13/3,762.72
  6. Step 6: Final answer
    x = 3,649.67

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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.