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Finding the Fourth Proportional to 11,808.75, 16,295.75 and 6,503.60

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Solution

The fourth proportional to 11,808.75, 16,295.75 and 6,503.60 is: 8,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.75 : 16,295.75 = 6,503.60 : x
  2. Step 2: Convert to fraction form
    11,808.75/16,295.75 = 6,503.60/x
  3. Step 3: Cross multiply
    11,808.75x = 16,295.75 × 6,503.60
  4. Step 4: Simplify right side
    11,808.75x = 105,980,925.70
  5. Step 5: Solve for x
    x = 105,980,925.70/11,808.75
  6. Step 6: Final answer
    x = 8,974.78

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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.