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Finding the Fourth Proportional to 14,477.45, 19,978.68 and 8,189.82

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Solution

The fourth proportional to 14,477.45, 19,978.68 and 8,189.82 is: 11,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.45 : 19,978.68 = 8,189.82 : x
  2. Step 2: Convert to fraction form
    14,477.45/19,978.68 = 8,189.82/x
  3. Step 3: Cross multiply
    14,477.45x = 19,978.68 × 8,189.82
  4. Step 4: Simplify right side
    14,477.45x = 163,621,823.75
  5. Step 5: Solve for x
    x = 163,621,823.75/14,477.45
  6. Step 6: Final answer
    x = 11,301.84

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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.