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Finding the Fourth Proportional to 5,697.50, 7,862.56 and 3,213.50

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Solution

The fourth proportional to 5,697.50, 7,862.56 and 3,213.50 is: 4,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.50 : 7,862.56 = 3,213.50 : x
  2. Step 2: Convert to fraction form
    5,697.50/7,862.56 = 3,213.50/x
  3. Step 3: Cross multiply
    5,697.50x = 7,862.56 × 3,213.50
  4. Step 4: Simplify right side
    5,697.50x = 25,266,336.56
  5. Step 5: Solve for x
    x = 25,266,336.56/5,697.50
  6. Step 6: Final answer
    x = 4,434.64

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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.