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Finding the Fourth Proportional to 34,408.75, 51,621.80 and 9,784.75

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Solution

The fourth proportional to 34,408.75, 51,621.80 and 9,784.75 is: 14,679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,408.75 : 51,621.80 = 9,784.75 : x
  2. Step 2: Convert to fraction form
    34,408.75/51,621.80 = 9,784.75/x
  3. Step 3: Cross multiply
    34,408.75x = 51,621.80 × 9,784.75
  4. Step 4: Simplify right side
    34,408.75x = 505,106,407.55
  5. Step 5: Solve for x
    x = 505,106,407.55/34,408.75
  6. Step 6: Final answer
    x = 14,679.59

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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.