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Finding the Fourth Proportional to 1,965, 2,947.50 and 810.78

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Solution

The fourth proportional to 1,965, 2,947.50 and 810.78 is: 1,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965 : 2,947.50 = 810.78 : x
  2. Step 2: Convert to fraction form
    1,965/2,947.50 = 810.78/x
  3. Step 3: Cross multiply
    1,965x = 2,947.50 × 810.78
  4. Step 4: Simplify right side
    1,965x = 2,389,774.05
  5. Step 5: Solve for x
    x = 2,389,774.05/1,965
  6. Step 6: Final answer
    x = 1,216.17

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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.