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Finding the Fourth Proportional to 5,615.64, 7,748.32 and 3,225.46

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Solution

The fourth proportional to 5,615.64, 7,748.32 and 3,225.46 is: 4,450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.64 : 7,748.32 = 3,225.46 : x
  2. Step 2: Convert to fraction form
    5,615.64/7,748.32 = 3,225.46/x
  3. Step 3: Cross multiply
    5,615.64x = 7,748.32 × 3,225.46
  4. Step 4: Simplify right side
    5,615.64x = 24,991,896.23
  5. Step 5: Solve for x
    x = 24,991,896.23/5,615.64
  6. Step 6: Final answer
    x = 4,450.41

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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.