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Finding the Fourth Proportional to 8,196, 12,306.27 and 4,689.96

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Solution

The fourth proportional to 8,196, 12,306.27 and 4,689.96 is: 7,041.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196 : 12,306.27 = 4,689.96 : x
  2. Step 2: Convert to fraction form
    8,196/12,306.27 = 4,689.96/x
  3. Step 3: Cross multiply
    8,196x = 12,306.27 × 4,689.96
  4. Step 4: Simplify right side
    8,196x = 57,715,914.05
  5. Step 5: Solve for x
    x = 57,715,914.05/8,196
  6. Step 6: Final answer
    x = 7,041.96

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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.