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Finding the Fourth Proportional to 21,400.80, 32,089.74 and 7,163

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Solution

The fourth proportional to 21,400.80, 32,089.74 and 7,163 is: 10,740.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.80 : 32,089.74 = 7,163 : x
  2. Step 2: Convert to fraction form
    21,400.80/32,089.74 = 7,163/x
  3. Step 3: Cross multiply
    21,400.80x = 32,089.74 × 7,163
  4. Step 4: Simplify right side
    21,400.80x = 229,858,807.62
  5. Step 5: Solve for x
    x = 229,858,807.62/21,400.80
  6. Step 6: Final answer
    x = 10,740.66

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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.