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Finding the Fourth Proportional to 11,785.94, 16,252.53 and 7,805.60

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Solution

The fourth proportional to 11,785.94, 16,252.53 and 7,805.60 is: 10,763.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.94 : 16,252.53 = 7,805.60 : x
  2. Step 2: Convert to fraction form
    11,785.94/16,252.53 = 7,805.60/x
  3. Step 3: Cross multiply
    11,785.94x = 16,252.53 × 7,805.60
  4. Step 4: Simplify right side
    11,785.94x = 126,860,666.91
  5. Step 5: Solve for x
    x = 126,860,666.91/11,785.94
  6. Step 6: Final answer
    x = 10,763.73

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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.