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Finding the Fourth Proportional to 1,308.12, 1,971.05 and 1,082.08

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Solution

The fourth proportional to 1,308.12, 1,971.05 and 1,082.08 is: 1,630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.12 : 1,971.05 = 1,082.08 : x
  2. Step 2: Convert to fraction form
    1,308.12/1,971.05 = 1,082.08/x
  3. Step 3: Cross multiply
    1,308.12x = 1,971.05 × 1,082.08
  4. Step 4: Simplify right side
    1,308.12x = 2,132,828.37
  5. Step 5: Solve for x
    x = 2,132,828.37/1,308.12
  6. Step 6: Final answer
    x = 1,630.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.