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Finding the Fourth Proportional to 7,799, 11,703.96 and 3,417.80

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Solution

The fourth proportional to 7,799, 11,703.96 and 3,417.80 is: 5,129.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799 : 11,703.96 = 3,417.80 : x
  2. Step 2: Convert to fraction form
    7,799/11,703.96 = 3,417.80/x
  3. Step 3: Cross multiply
    7,799x = 11,703.96 × 3,417.80
  4. Step 4: Simplify right side
    7,799x = 40,001,794.49
  5. Step 5: Solve for x
    x = 40,001,794.49/7,799
  6. Step 6: Final answer
    x = 5,129.09

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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.