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Finding the Fourth Proportional to 29,278, 40,403.64 and 16,702.48

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Solution

The fourth proportional to 29,278, 40,403.64 and 16,702.48 is: 23,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,278 : 40,403.64 = 16,702.48 : x
  2. Step 2: Convert to fraction form
    29,278/40,403.64 = 16,702.48/x
  3. Step 3: Cross multiply
    29,278x = 40,403.64 × 16,702.48
  4. Step 4: Simplify right side
    29,278x = 674,840,989.03
  5. Step 5: Solve for x
    x = 674,840,989.03/29,278
  6. Step 6: Final answer
    x = 23,049.42

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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.