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Finding the Fourth Proportional to 1,682.13, 2,520.54 and 1,507.86

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Solution

The fourth proportional to 1,682.13, 2,520.54 and 1,507.86 is: 2,259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.13 : 2,520.54 = 1,507.86 : x
  2. Step 2: Convert to fraction form
    1,682.13/2,520.54 = 1,507.86/x
  3. Step 3: Cross multiply
    1,682.13x = 2,520.54 × 1,507.86
  4. Step 4: Simplify right side
    1,682.13x = 3,800,621.44
  5. Step 5: Solve for x
    x = 3,800,621.44/1,682.13
  6. Step 6: Final answer
    x = 2,259.41

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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.