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Finding the Fourth Proportional to 9,193, 12,687 and 5,214.46

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Solution

The fourth proportional to 9,193, 12,687 and 5,214.46 is: 7,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193 : 12,687 = 5,214.46 : x
  2. Step 2: Convert to fraction form
    9,193/12,687 = 5,214.46/x
  3. Step 3: Cross multiply
    9,193x = 12,687 × 5,214.46
  4. Step 4: Simplify right side
    9,193x = 66,155,854.02
  5. Step 5: Solve for x
    x = 66,155,854.02/9,193
  6. Step 6: Final answer
    x = 7,196.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.