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Finding the Fourth Proportional to 34,337.88, 47,361.84 and 20,910

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Solution

The fourth proportional to 34,337.88, 47,361.84 and 20,910 is: 28,840.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,337.88 : 47,361.84 = 20,910 : x
  2. Step 2: Convert to fraction form
    34,337.88/47,361.84 = 20,910/x
  3. Step 3: Cross multiply
    34,337.88x = 47,361.84 × 20,910
  4. Step 4: Simplify right side
    34,337.88x = 990,336,074.40
  5. Step 5: Solve for x
    x = 990,336,074.40/34,337.88
  6. Step 6: Final answer
    x = 28,840.92

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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.