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Finding the Fourth Proportional to 2,175.76, 3,002.70 and 1,231.70

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Solution

The fourth proportional to 2,175.76, 3,002.70 and 1,231.70 is: 1,699.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.76 : 3,002.70 = 1,231.70 : x
  2. Step 2: Convert to fraction form
    2,175.76/3,002.70 = 1,231.70/x
  3. Step 3: Cross multiply
    2,175.76x = 3,002.70 × 1,231.70
  4. Step 4: Simplify right side
    2,175.76x = 3,698,425.59
  5. Step 5: Solve for x
    x = 3,698,425.59/2,175.76
  6. Step 6: Final answer
    x = 1,699.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.