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Finding the Fourth Proportional to 3,462.64, 5,189.64 and 1,731.76

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Solution

The fourth proportional to 3,462.64, 5,189.64 and 1,731.76 is: 2,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.64 : 5,189.64 = 1,731.76 : x
  2. Step 2: Convert to fraction form
    3,462.64/5,189.64 = 1,731.76/x
  3. Step 3: Cross multiply
    3,462.64x = 5,189.64 × 1,731.76
  4. Step 4: Simplify right side
    3,462.64x = 8,987,210.97
  5. Step 5: Solve for x
    x = 8,987,210.97/3,462.64
  6. Step 6: Final answer
    x = 2,595.48

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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.