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Finding the Fourth Proportional to 17,872.48, 24,665.76 and 10,420

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Solution

The fourth proportional to 17,872.48, 24,665.76 and 10,420 is: 14,380.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872.48 : 24,665.76 = 10,420 : x
  2. Step 2: Convert to fraction form
    17,872.48/24,665.76 = 10,420/x
  3. Step 3: Cross multiply
    17,872.48x = 24,665.76 × 10,420
  4. Step 4: Simplify right side
    17,872.48x = 257,017,219.20
  5. Step 5: Solve for x
    x = 257,017,219.20/17,872.48
  6. Step 6: Final answer
    x = 14,380.61

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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.