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Finding the Fourth Proportional to 1,965.09, 2,947.82 and 810.93

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Solution

The fourth proportional to 1,965.09, 2,947.82 and 810.93 is: 1,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.09 : 2,947.82 = 810.93 : x
  2. Step 2: Convert to fraction form
    1,965.09/2,947.82 = 810.93/x
  3. Step 3: Cross multiply
    1,965.09x = 2,947.82 × 810.93
  4. Step 4: Simplify right side
    1,965.09x = 2,390,471.62
  5. Step 5: Solve for x
    x = 2,390,471.62/1,965.09
  6. Step 6: Final answer
    x = 1,216.47

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1.5x scale

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.