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Finding the Fourth Proportional to 5,170.64, 7,754.77 and 1,472.78

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Solution

The fourth proportional to 5,170.64, 7,754.77 and 1,472.78 is: 2,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.64 : 7,754.77 = 1,472.78 : x
  2. Step 2: Convert to fraction form
    5,170.64/7,754.77 = 1,472.78/x
  3. Step 3: Cross multiply
    5,170.64x = 7,754.77 × 1,472.78
  4. Step 4: Simplify right side
    5,170.64x = 11,421,091.39
  5. Step 5: Solve for x
    x = 11,421,091.39/5,170.64
  6. Step 6: Final answer
    x = 2,208.84

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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.