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Finding the Fourth Proportional to 3,507.74, 5,262.33 and 1,427.74

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Solution

The fourth proportional to 3,507.74, 5,262.33 and 1,427.74 is: 2,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.74 : 5,262.33 = 1,427.74 : x
  2. Step 2: Convert to fraction form
    3,507.74/5,262.33 = 1,427.74/x
  3. Step 3: Cross multiply
    3,507.74x = 5,262.33 × 1,427.74
  4. Step 4: Simplify right side
    3,507.74x = 7,513,239.03
  5. Step 5: Solve for x
    x = 7,513,239.03/3,507.74
  6. Step 6: Final answer
    x = 2,141.90

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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.