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Finding the Fourth Proportional to 11,855.88, 16,345.92 and 9,723.60

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Solution

The fourth proportional to 11,855.88, 16,345.92 and 9,723.60 is: 13,406.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.88 : 16,345.92 = 9,723.60 : x
  2. Step 2: Convert to fraction form
    11,855.88/16,345.92 = 9,723.60/x
  3. Step 3: Cross multiply
    11,855.88x = 16,345.92 × 9,723.60
  4. Step 4: Simplify right side
    11,855.88x = 158,941,187.71
  5. Step 5: Solve for x
    x = 158,941,187.71/11,855.88
  6. Step 6: Final answer
    x = 13,406.11

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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.