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Finding the Fourth Proportional to 7,242.80, 10,857.72 and 3,782.48

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Solution

The fourth proportional to 7,242.80, 10,857.72 and 3,782.48 is: 5,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.80 : 10,857.72 = 3,782.48 : x
  2. Step 2: Convert to fraction form
    7,242.80/10,857.72 = 3,782.48/x
  3. Step 3: Cross multiply
    7,242.80x = 10,857.72 × 3,782.48
  4. Step 4: Simplify right side
    7,242.80x = 41,069,108.75
  5. Step 5: Solve for x
    x = 41,069,108.75/7,242.80
  6. Step 6: Final answer
    x = 5,670.34

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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.