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Finding the Fourth Proportional to 5,170.42, 7,756.16 and 1,659.56

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Solution

The fourth proportional to 5,170.42, 7,756.16 and 1,659.56 is: 2,489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.42 : 7,756.16 = 1,659.56 : x
  2. Step 2: Convert to fraction form
    5,170.42/7,756.16 = 1,659.56/x
  3. Step 3: Cross multiply
    5,170.42x = 7,756.16 × 1,659.56
  4. Step 4: Simplify right side
    5,170.42x = 12,871,812.89
  5. Step 5: Solve for x
    x = 12,871,812.89/5,170.42
  6. Step 6: Final answer
    x = 2,489.51

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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.