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Finding the Fourth Proportional to 8,416.60, 11,625.90 and 6,829.18

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Solution

The fourth proportional to 8,416.60, 11,625.90 and 6,829.18 is: 9,433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.60 : 11,625.90 = 6,829.18 : x
  2. Step 2: Convert to fraction form
    8,416.60/11,625.90 = 6,829.18/x
  3. Step 3: Cross multiply
    8,416.60x = 11,625.90 × 6,829.18
  4. Step 4: Simplify right side
    8,416.60x = 79,395,363.76
  5. Step 5: Solve for x
    x = 79,395,363.76/8,416.60
  6. Step 6: Final answer
    x = 9,433.19

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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.