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Finding the Fourth Proportional to 34,319.92, 47,361.84 and 20,173

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Solution

The fourth proportional to 34,319.92, 47,361.84 and 20,173 is: 27,838.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,319.92 : 47,361.84 = 20,173 : x
  2. Step 2: Convert to fraction form
    34,319.92/47,361.84 = 20,173/x
  3. Step 3: Cross multiply
    34,319.92x = 47,361.84 × 20,173
  4. Step 4: Simplify right side
    34,319.92x = 955,430,398.32
  5. Step 5: Solve for x
    x = 955,430,398.32/34,319.92
  6. Step 6: Final answer
    x = 27,838.95

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1.5x scale

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.