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Finding the Fourth Proportional to 12,657.42, 18,986.19 and 8,302.45

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Solution

The fourth proportional to 12,657.42, 18,986.19 and 8,302.45 is: 12,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.42 : 18,986.19 = 8,302.45 : x
  2. Step 2: Convert to fraction form
    12,657.42/18,986.19 = 8,302.45/x
  3. Step 3: Cross multiply
    12,657.42x = 18,986.19 × 8,302.45
  4. Step 4: Simplify right side
    12,657.42x = 157,631,893.17
  5. Step 5: Solve for x
    x = 157,631,893.17/12,657.42
  6. Step 6: Final answer
    x = 12,453.71

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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.