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Finding the Fourth Proportional to 3,160.82, 4,740.48 and 1,404.86

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Solution

The fourth proportional to 3,160.82, 4,740.48 and 1,404.86 is: 2,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.82 : 4,740.48 = 1,404.86 : x
  2. Step 2: Convert to fraction form
    3,160.82/4,740.48 = 1,404.86/x
  3. Step 3: Cross multiply
    3,160.82x = 4,740.48 × 1,404.86
  4. Step 4: Simplify right side
    3,160.82x = 6,659,710.73
  5. Step 5: Solve for x
    x = 6,659,710.73/3,160.82
  6. Step 6: Final answer
    x = 2,106.96

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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.