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Finding the Fourth Proportional to 15,846.36, 21,847.24 and 9,867.64

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Solution

The fourth proportional to 15,846.36, 21,847.24 and 9,867.64 is: 13,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846.36 : 21,847.24 = 9,867.64 : x
  2. Step 2: Convert to fraction form
    15,846.36/21,847.24 = 9,867.64/x
  3. Step 3: Cross multiply
    15,846.36x = 21,847.24 × 9,867.64
  4. Step 4: Simplify right side
    15,846.36x = 215,580,699.31
  5. Step 5: Solve for x
    x = 215,580,699.31/15,846.36
  6. Step 6: Final answer
    x = 13,604.43

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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.