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Finding the Fourth Proportional to 12,267, 18,393.48 and 5,689.80

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Solution

The fourth proportional to 12,267, 18,393.48 and 5,689.80 is: 8,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267 : 18,393.48 = 5,689.80 : x
  2. Step 2: Convert to fraction form
    12,267/18,393.48 = 5,689.80/x
  3. Step 3: Cross multiply
    12,267x = 18,393.48 × 5,689.80
  4. Step 4: Simplify right side
    12,267x = 104,655,222.50
  5. Step 5: Solve for x
    x = 104,655,222.50/12,267
  6. Step 6: Final answer
    x = 8,531.44

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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.