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Finding the Fourth Proportional to 7,792.61, 11,681.82 and 3,408.48

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Solution

The fourth proportional to 7,792.61, 11,681.82 and 3,408.48 is: 5,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.61 : 11,681.82 = 3,408.48 : x
  2. Step 2: Convert to fraction form
    7,792.61/11,681.82 = 3,408.48/x
  3. Step 3: Cross multiply
    7,792.61x = 11,681.82 × 3,408.48
  4. Step 4: Simplify right side
    7,792.61x = 39,817,249.83
  5. Step 5: Solve for x
    x = 39,817,249.83/7,792.61
  6. Step 6: Final answer
    x = 5,109.62

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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.