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Finding the Fourth Proportional to 3,170.34, 4,375.10 and 1,754.12

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Solution

The fourth proportional to 3,170.34, 4,375.10 and 1,754.12 is: 2,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.34 : 4,375.10 = 1,754.12 : x
  2. Step 2: Convert to fraction form
    3,170.34/4,375.10 = 1,754.12/x
  3. Step 3: Cross multiply
    3,170.34x = 4,375.10 × 1,754.12
  4. Step 4: Simplify right side
    3,170.34x = 7,674,450.41
  5. Step 5: Solve for x
    x = 7,674,450.41/3,170.34
  6. Step 6: Final answer
    x = 2,420.70

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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.