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Finding the Fourth Proportional to 11,623.80, 16,032.76 and 7,643.64

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Solution

The fourth proportional to 11,623.80, 16,032.76 and 7,643.64 is: 10,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.80 : 16,032.76 = 7,643.64 : x
  2. Step 2: Convert to fraction form
    11,623.80/16,032.76 = 7,643.64/x
  3. Step 3: Cross multiply
    11,623.80x = 16,032.76 × 7,643.64
  4. Step 4: Simplify right side
    11,623.80x = 122,548,645.65
  5. Step 5: Solve for x
    x = 122,548,645.65/11,623.80
  6. Step 6: Final answer
    x = 10,542.91

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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.