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Finding the Fourth Proportional to 7,808.72, 11,713.10 and 1,965.33

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Solution

The fourth proportional to 7,808.72, 11,713.10 and 1,965.33 is: 2,948.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.72 : 11,713.10 = 1,965.33 : x
  2. Step 2: Convert to fraction form
    7,808.72/11,713.10 = 1,965.33/x
  3. Step 3: Cross multiply
    7,808.72x = 11,713.10 × 1,965.33
  4. Step 4: Simplify right side
    7,808.72x = 23,020,097.00
  5. Step 5: Solve for x
    x = 23,020,097.00/7,808.72
  6. Step 6: Final answer
    x = 2,948.00

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Similar ratio
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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.