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Finding the Fourth Proportional to 7,808.83, 11,713.12 and 1,965.40

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Solution

The fourth proportional to 7,808.83, 11,713.12 and 1,965.40 is: 2,948.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.83 : 11,713.12 = 1,965.40 : x
  2. Step 2: Convert to fraction form
    7,808.83/11,713.12 = 1,965.40/x
  3. Step 3: Cross multiply
    7,808.83x = 11,713.12 × 1,965.40
  4. Step 4: Simplify right side
    7,808.83x = 23,020,966.05
  5. Step 5: Solve for x
    x = 23,020,966.05/7,808.83
  6. Step 6: Final answer
    x = 2,948.07

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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.