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Finding the Fourth Proportional to 11,842.55, 16,348.03 and 7,811.75

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Solution

The fourth proportional to 11,842.55, 16,348.03 and 7,811.75 is: 10,783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.55 : 16,348.03 = 7,811.75 : x
  2. Step 2: Convert to fraction form
    11,842.55/16,348.03 = 7,811.75/x
  3. Step 3: Cross multiply
    11,842.55x = 16,348.03 × 7,811.75
  4. Step 4: Simplify right side
    11,842.55x = 127,706,683.39
  5. Step 5: Solve for x
    x = 127,706,683.39/11,842.55
  6. Step 6: Final answer
    x = 10,783.72

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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.