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Finding the Fourth Proportional to 14,473.29, 19,976.90 and 8,189.31

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Solution

The fourth proportional to 14,473.29, 19,976.90 and 8,189.31 is: 11,303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473.29 : 19,976.90 = 8,189.31 : x
  2. Step 2: Convert to fraction form
    14,473.29/19,976.90 = 8,189.31/x
  3. Step 3: Cross multiply
    14,473.29x = 19,976.90 × 8,189.31
  4. Step 4: Simplify right side
    14,473.29x = 163,596,985.99
  5. Step 5: Solve for x
    x = 163,596,985.99/14,473.29
  6. Step 6: Final answer
    x = 11,303.37

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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.