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Finding the Fourth Proportional to 29,678, 40,958.52 and 16,430

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Solution

The fourth proportional to 29,678, 40,958.52 and 16,430 is: 22,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678 : 40,958.52 = 16,430 : x
  2. Step 2: Convert to fraction form
    29,678/40,958.52 = 16,430/x
  3. Step 3: Cross multiply
    29,678x = 40,958.52 × 16,430
  4. Step 4: Simplify right side
    29,678x = 672,948,483.60
  5. Step 5: Solve for x
    x = 672,948,483.60/29,678
  6. Step 6: Final answer
    x = 22,674.99

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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.