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Finding the Fourth Proportional to 12,537.70, 18,806.12 and 4,217.54

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Solution

The fourth proportional to 12,537.70, 18,806.12 and 4,217.54 is: 6,326.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.70 : 18,806.12 = 4,217.54 : x
  2. Step 2: Convert to fraction form
    12,537.70/18,806.12 = 4,217.54/x
  3. Step 3: Cross multiply
    12,537.70x = 18,806.12 × 4,217.54
  4. Step 4: Simplify right side
    12,537.70x = 79,315,487.77
  5. Step 5: Solve for x
    x = 79,315,487.77/12,537.70
  6. Step 6: Final answer
    x = 6,326.16

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1.5x scale

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.