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Finding the Fourth Proportional to 16,430.48, 22,673.64 and 8,978

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Solution

The fourth proportional to 16,430.48, 22,673.64 and 8,978 is: 12,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.48 : 22,673.64 = 8,978 : x
  2. Step 2: Convert to fraction form
    16,430.48/22,673.64 = 8,978/x
  3. Step 3: Cross multiply
    16,430.48x = 22,673.64 × 8,978
  4. Step 4: Simplify right side
    16,430.48x = 203,563,939.92
  5. Step 5: Solve for x
    x = 203,563,939.92/16,430.48
  6. Step 6: Final answer
    x = 12,389.41

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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.