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Finding the Fourth Proportional to 2,176.76, 3,265.68 and 637.76

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Solution

The fourth proportional to 2,176.76, 3,265.68 and 637.76 is: 956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.76 : 3,265.68 = 637.76 : x
  2. Step 2: Convert to fraction form
    2,176.76/3,265.68 = 637.76/x
  3. Step 3: Cross multiply
    2,176.76x = 3,265.68 × 637.76
  4. Step 4: Simplify right side
    2,176.76x = 2,082,720.08
  5. Step 5: Solve for x
    x = 2,082,720.08/2,176.76
  6. Step 6: Final answer
    x = 956.80

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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.