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Finding the Fourth Proportional to 2,308.05, 3,462.68 and 902.49

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Solution

The fourth proportional to 2,308.05, 3,462.68 and 902.49 is: 1,353.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.05 : 3,462.68 = 902.49 : x
  2. Step 2: Convert to fraction form
    2,308.05/3,462.68 = 902.49/x
  3. Step 3: Cross multiply
    2,308.05x = 3,462.68 × 902.49
  4. Step 4: Simplify right side
    2,308.05x = 3,125,034.07
  5. Step 5: Solve for x
    x = 3,125,034.07/2,308.05
  6. Step 6: Final answer
    x = 1,353.97

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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.