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Finding the Fourth Proportional to 3,101.92, 4,281.01 and 1,775.81

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Solution

The fourth proportional to 3,101.92, 4,281.01 and 1,775.81 is: 2,450.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.92 : 4,281.01 = 1,775.81 : x
  2. Step 2: Convert to fraction form
    3,101.92/4,281.01 = 1,775.81/x
  3. Step 3: Cross multiply
    3,101.92x = 4,281.01 × 1,775.81
  4. Step 4: Simplify right side
    3,101.92x = 7,602,266.63
  5. Step 5: Solve for x
    x = 7,602,266.63/3,101.92
  6. Step 6: Final answer
    x = 2,450.83

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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.