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Finding the Fourth Proportional to 11,958.98, 16,509.22 and 7,485.21

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Solution

The fourth proportional to 11,958.98, 16,509.22 and 7,485.21 is: 10,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,958.98 : 16,509.22 = 7,485.21 : x
  2. Step 2: Convert to fraction form
    11,958.98/16,509.22 = 7,485.21/x
  3. Step 3: Cross multiply
    11,958.98x = 16,509.22 × 7,485.21
  4. Step 4: Simplify right side
    11,958.98x = 123,574,959.92
  5. Step 5: Solve for x
    x = 123,574,959.92/11,958.98
  6. Step 6: Final answer
    x = 10,333.24

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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.