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Finding the Fourth Proportional to 11,323.80, 16,992.61 and 7,158.07

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Solution

The fourth proportional to 11,323.80, 16,992.61 and 7,158.07 is: 10,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.80 : 16,992.61 = 7,158.07 : x
  2. Step 2: Convert to fraction form
    11,323.80/16,992.61 = 7,158.07/x
  3. Step 3: Cross multiply
    11,323.80x = 16,992.61 × 7,158.07
  4. Step 4: Simplify right side
    11,323.80x = 121,634,291.86
  5. Step 5: Solve for x
    x = 121,634,291.86/11,323.80
  6. Step 6: Final answer
    x = 10,741.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.