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Finding the Fourth Proportional to 4,757.40, 7,133.40 and 2,157.12

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Solution

The fourth proportional to 4,757.40, 7,133.40 and 2,157.12 is: 3,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.40 : 7,133.40 = 2,157.12 : x
  2. Step 2: Convert to fraction form
    4,757.40/7,133.40 = 2,157.12/x
  3. Step 3: Cross multiply
    4,757.40x = 7,133.40 × 2,157.12
  4. Step 4: Simplify right side
    4,757.40x = 15,387,599.81
  5. Step 5: Solve for x
    x = 15,387,599.81/4,757.40
  6. Step 6: Final answer
    x = 3,234.46

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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.