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Finding the Fourth Proportional to 15,711.36, 21,669.36 and 9,739.64

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Solution

The fourth proportional to 15,711.36, 21,669.36 and 9,739.64 is: 13,433.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.36 : 21,669.36 = 9,739.64 : x
  2. Step 2: Convert to fraction form
    15,711.36/21,669.36 = 9,739.64/x
  3. Step 3: Cross multiply
    15,711.36x = 21,669.36 × 9,739.64
  4. Step 4: Simplify right side
    15,711.36x = 211,051,765.43
  5. Step 5: Solve for x
    x = 211,051,765.43/15,711.36
  6. Step 6: Final answer
    x = 13,433.07

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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.