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Finding the Fourth Proportional to 8,605.74, 11,871.53 and 5,623.32

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Solution

The fourth proportional to 8,605.74, 11,871.53 and 5,623.32 is: 7,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.74 : 11,871.53 = 5,623.32 : x
  2. Step 2: Convert to fraction form
    8,605.74/11,871.53 = 5,623.32/x
  3. Step 3: Cross multiply
    8,605.74x = 11,871.53 × 5,623.32
  4. Step 4: Simplify right side
    8,605.74x = 66,757,481.20
  5. Step 5: Solve for x
    x = 66,757,481.20/8,605.74
  6. Step 6: Final answer
    x = 7,757.32

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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.