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Finding the Fourth Proportional to 7,808.34, 11,713.68 and 2,613

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Solution

The fourth proportional to 7,808.34, 11,713.68 and 2,613 is: 3,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.34 : 11,713.68 = 2,613 : x
  2. Step 2: Convert to fraction form
    7,808.34/11,713.68 = 2,613/x
  3. Step 3: Cross multiply
    7,808.34x = 11,713.68 × 2,613
  4. Step 4: Simplify right side
    7,808.34x = 30,607,845.84
  5. Step 5: Solve for x
    x = 30,607,845.84/7,808.34
  6. Step 6: Final answer
    x = 3,919.89

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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.