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Finding the Fourth Proportional to 1,961.08, 2,938.30 and 972.57

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Solution

The fourth proportional to 1,961.08, 2,938.30 and 972.57 is: 1,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.08 : 2,938.30 = 972.57 : x
  2. Step 2: Convert to fraction form
    1,961.08/2,938.30 = 972.57/x
  3. Step 3: Cross multiply
    1,961.08x = 2,938.30 × 972.57
  4. Step 4: Simplify right side
    1,961.08x = 2,857,702.43
  5. Step 5: Solve for x
    x = 2,857,702.43/1,961.08
  6. Step 6: Final answer
    x = 1,457.21

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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.