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Finding the Fourth Proportional to 29,665, 40,940.58 and 16,417

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Solution

The fourth proportional to 29,665, 40,940.58 and 16,417 is: 22,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,665 : 40,940.58 = 16,417 : x
  2. Step 2: Convert to fraction form
    29,665/40,940.58 = 16,417/x
  3. Step 3: Cross multiply
    29,665x = 40,940.58 × 16,417
  4. Step 4: Simplify right side
    29,665x = 672,121,501.86
  5. Step 5: Solve for x
    x = 672,121,501.86/29,665
  6. Step 6: Final answer
    x = 22,657.05

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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.