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Finding the Fourth Proportional to 47,443.92, 71,178.24 and 17,862

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Solution

The fourth proportional to 47,443.92, 71,178.24 and 17,862 is: 26,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,443.92 : 71,178.24 = 17,862 : x
  2. Step 2: Convert to fraction form
    47,443.92/71,178.24 = 17,862/x
  3. Step 3: Cross multiply
    47,443.92x = 71,178.24 × 17,862
  4. Step 4: Simplify right side
    47,443.92x = 1,271,385,722.88
  5. Step 5: Solve for x
    x = 1,271,385,722.88/47,443.92
  6. Step 6: Final answer
    x = 26,797.65

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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.