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Finding the Fourth Proportional to 9,792.60, 13,503.84 and 8,380.98

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Solution

The fourth proportional to 9,792.60, 13,503.84 and 8,380.98 is: 11,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.60 : 13,503.84 = 8,380.98 : x
  2. Step 2: Convert to fraction form
    9,792.60/13,503.84 = 8,380.98/x
  3. Step 3: Cross multiply
    9,792.60x = 13,503.84 × 8,380.98
  4. Step 4: Simplify right side
    9,792.60x = 113,175,412.96
  5. Step 5: Solve for x
    x = 113,175,412.96/9,792.60
  6. Step 6: Final answer
    x = 11,557.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.