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Finding the Fourth Proportional to 1,962.76, 2,947.02 and 810.76

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Solution

The fourth proportional to 1,962.76, 2,947.02 and 810.76 is: 1,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.76 : 2,947.02 = 810.76 : x
  2. Step 2: Convert to fraction form
    1,962.76/2,947.02 = 810.76/x
  3. Step 3: Cross multiply
    1,962.76x = 2,947.02 × 810.76
  4. Step 4: Simplify right side
    1,962.76x = 2,389,325.94
  5. Step 5: Solve for x
    x = 2,389,325.94/1,962.76
  6. Step 6: Final answer
    x = 1,217.33

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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.