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Finding the Fourth Proportional to 1,971.70, 2,951.82 and 1,537.54

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Solution

The fourth proportional to 1,971.70, 2,951.82 and 1,537.54 is: 2,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.70 : 2,951.82 = 1,537.54 : x
  2. Step 2: Convert to fraction form
    1,971.70/2,951.82 = 1,537.54/x
  3. Step 3: Cross multiply
    1,971.70x = 2,951.82 × 1,537.54
  4. Step 4: Simplify right side
    1,971.70x = 4,538,541.32
  5. Step 5: Solve for x
    x = 4,538,541.32/1,971.70
  6. Step 6: Final answer
    x = 2,301.84

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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.