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Finding the Fourth Proportional to 38,420, 57,639.72 and 10,718

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Solution

The fourth proportional to 38,420, 57,639.72 and 10,718 is: 16,079.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,420 : 57,639.72 = 10,718 : x
  2. Step 2: Convert to fraction form
    38,420/57,639.72 = 10,718/x
  3. Step 3: Cross multiply
    38,420x = 57,639.72 × 10,718
  4. Step 4: Simplify right side
    38,420x = 617,782,518.96
  5. Step 5: Solve for x
    x = 617,782,518.96/38,420
  6. Step 6: Final answer
    x = 16,079.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.