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Finding the Fourth Proportional to 2,173.64, 3,260.30 and 634.76

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Solution

The fourth proportional to 2,173.64, 3,260.30 and 634.76 is: 952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.64 : 3,260.30 = 634.76 : x
  2. Step 2: Convert to fraction form
    2,173.64/3,260.30 = 634.76/x
  3. Step 3: Cross multiply
    2,173.64x = 3,260.30 × 634.76
  4. Step 4: Simplify right side
    2,173.64x = 2,069,508.03
  5. Step 5: Solve for x
    x = 2,069,508.03/2,173.64
  6. Step 6: Final answer
    x = 952.09

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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.