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Finding the Fourth Proportional to 11,605.78, 16,010.15 and 7,824.16

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Solution

The fourth proportional to 11,605.78, 16,010.15 and 7,824.16 is: 10,793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.78 : 16,010.15 = 7,824.16 : x
  2. Step 2: Convert to fraction form
    11,605.78/16,010.15 = 7,824.16/x
  3. Step 3: Cross multiply
    11,605.78x = 16,010.15 × 7,824.16
  4. Step 4: Simplify right side
    11,605.78x = 125,265,975.22
  5. Step 5: Solve for x
    x = 125,265,975.22/11,605.78
  6. Step 6: Final answer
    x = 10,793.41

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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.