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Finding the Fourth Proportional to 1,682.06, 2,520.98 and 900.13

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Solution

The fourth proportional to 1,682.06, 2,520.98 and 900.13 is: 1,349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.06 : 2,520.98 = 900.13 : x
  2. Step 2: Convert to fraction form
    1,682.06/2,520.98 = 900.13/x
  3. Step 3: Cross multiply
    1,682.06x = 2,520.98 × 900.13
  4. Step 4: Simplify right side
    1,682.06x = 2,269,205.68
  5. Step 5: Solve for x
    x = 2,269,205.68/1,682.06
  6. Step 6: Final answer
    x = 1,349.06

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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.