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Finding the Fourth Proportional to 8,493.66, 12,742.50 and 8,352.45

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Solution

The fourth proportional to 8,493.66, 12,742.50 and 8,352.45 is: 12,530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.66 : 12,742.50 = 8,352.45 : x
  2. Step 2: Convert to fraction form
    8,493.66/12,742.50 = 8,352.45/x
  3. Step 3: Cross multiply
    8,493.66x = 12,742.50 × 8,352.45
  4. Step 4: Simplify right side
    8,493.66x = 106,431,094.13
  5. Step 5: Solve for x
    x = 106,431,094.13/8,493.66
  6. Step 6: Final answer
    x = 12,530.65

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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.