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Finding the Fourth Proportional to 29,274, 40,387.10 and 19,208.00

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Solution

The fourth proportional to 29,274, 40,387.10 and 19,208.00 is: 26,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,274 : 40,387.10 = 19,208.00 : x
  2. Step 2: Convert to fraction form
    29,274/40,387.10 = 19,208.00/x
  3. Step 3: Cross multiply
    29,274x = 40,387.10 × 19,208.00
  4. Step 4: Simplify right side
    29,274x = 775,755,118.82
  5. Step 5: Solve for x
    x = 775,755,118.82/29,274
  6. Step 6: Final answer
    x = 26,499.80

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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.