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Finding the Fourth Proportional to 2,170.78, 3,256.17 and 631.78

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Solution

The fourth proportional to 2,170.78, 3,256.17 and 631.78 is: 947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.78 : 3,256.17 = 631.78 : x
  2. Step 2: Convert to fraction form
    2,170.78/3,256.17 = 631.78/x
  3. Step 3: Cross multiply
    2,170.78x = 3,256.17 × 631.78
  4. Step 4: Simplify right side
    2,170.78x = 2,057,183.08
  5. Step 5: Solve for x
    x = 2,057,183.08/2,170.78
  6. Step 6: Final answer
    x = 947.67

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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.