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Finding the Fourth Proportional to 34,742.88, 52,114.32 and 8,447.64

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Solution

The fourth proportional to 34,742.88, 52,114.32 and 8,447.64 is: 12,671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,742.88 : 52,114.32 = 8,447.64 : x
  2. Step 2: Convert to fraction form
    34,742.88/52,114.32 = 8,447.64/x
  3. Step 3: Cross multiply
    34,742.88x = 52,114.32 × 8,447.64
  4. Step 4: Simplify right side
    34,742.88x = 440,243,014.20
  5. Step 5: Solve for x
    x = 440,243,014.20/34,742.88
  6. Step 6: Final answer
    x = 12,671.46

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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.