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Finding the Fourth Proportional to 15,682.74, 21,642.57 and 8,609.16

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Solution

The fourth proportional to 15,682.74, 21,642.57 and 8,609.16 is: 11,880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.74 : 21,642.57 = 8,609.16 : x
  2. Step 2: Convert to fraction form
    15,682.74/21,642.57 = 8,609.16/x
  3. Step 3: Cross multiply
    15,682.74x = 21,642.57 × 8,609.16
  4. Step 4: Simplify right side
    15,682.74x = 186,324,347.94
  5. Step 5: Solve for x
    x = 186,324,347.94/15,682.74
  6. Step 6: Final answer
    x = 11,880.85

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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.