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Finding the Fourth Proportional to 34,742.80, 52,114.04 and 8,447.60

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Solution

The fourth proportional to 34,742.80, 52,114.04 and 8,447.60 is: 12,671.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,742.80 : 52,114.04 = 8,447.60 : x
  2. Step 2: Convert to fraction form
    34,742.80/52,114.04 = 8,447.60/x
  3. Step 3: Cross multiply
    34,742.80x = 52,114.04 × 8,447.60
  4. Step 4: Simplify right side
    34,742.80x = 440,238,564.30
  5. Step 5: Solve for x
    x = 440,238,564.30/34,742.80
  6. Step 6: Final answer
    x = 12,671.36

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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.