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Finding the Fourth Proportional to 34,701.92, 47,889.28 and 20,372

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Solution

The fourth proportional to 34,701.92, 47,889.28 and 20,372 is: 28,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,701.92 : 47,889.28 = 20,372 : x
  2. Step 2: Convert to fraction form
    34,701.92/47,889.28 = 20,372/x
  3. Step 3: Cross multiply
    34,701.92x = 47,889.28 × 20,372
  4. Step 4: Simplify right side
    34,701.92x = 975,600,412.16
  5. Step 5: Solve for x
    x = 975,600,412.16/34,701.92
  6. Step 6: Final answer
    x = 28,113.73

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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.