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Finding the Fourth Proportional to 5,164.71, 7,748.46 and 3,685.79

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Solution

The fourth proportional to 5,164.71, 7,748.46 and 3,685.79 is: 5,529.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.71 : 7,748.46 = 3,685.79 : x
  2. Step 2: Convert to fraction form
    5,164.71/7,748.46 = 3,685.79/x
  3. Step 3: Cross multiply
    5,164.71x = 7,748.46 × 3,685.79
  4. Step 4: Simplify right side
    5,164.71x = 28,559,157.64
  5. Step 5: Solve for x
    x = 28,559,157.64/5,164.71
  6. Step 6: Final answer
    x = 5,529.67

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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.